LCM and HCF

LCM and HCF

Easy Questions
Moderate Questions
Difficult Questions
LCM and HCF Tutorial

Aptitude

Simplification
Number System
Fractions
Elementary Algebra
LCM and HCF
Approximation
Unitary Method
Linear Equation
Quadratic Equation
Discount
Average
Surds and Indices
Percentage
Square root and cube root
Order of Magnitude
Work and Wages
Odd Man Out and Series
Algebra
Profit and Loss
Stocks and Shares
True Discount
Ratio, Proportion
Partnership
Alligation or Mixture
Time and Work
Pipes and Cistern
Speed, Time and Distance
Problem on Trains
Height and Distance
Banker's Discount
Boats and Streams
Races and games
Problems on Ages
Clocks and Calendars
Simple interest
Compound Interest
Sets and Functions
Area and Perimeter
Volume and Surface Area of Solid Figures
Sequences and Series
Plane Geometry
Logarithm
Probability
Permutation and Combination
Statistics
Mensuration
Trigonometry
Aptitude miscellaneous
  1. Product of two co-prime numbers is 117. Then their L.C.M. is








  1. View Hint View Answer Discuss in Forum

    HCF of two-prime numbers = 1
    As we know that ,
    Product of numbers = LCM × HCF
    ∴ Product of numbers = LCM × 1 = 117
    Their LCM = 117 = 13 × 9 , where 13 & 9 are co-prime.

    Correct Option: A

    HCF of two-prime numbers = 1
    As we know that ,
    Product of numbers = LCM × HCF
    ∴ Product of numbers = LCM × 1 = 117
    Their LCM = 117 = 13 × 9 , where 13 & 9 are co-prime.
    L.C.M ( 13 , 9 ) = 117.

  1. The LCM of two numbers is 4 times their HCF. The sum of LCM and HCF is 125. If one of the number is 100, then the other number is








  1. View Hint View Answer Discuss in Forum

    Let LCM be L and HCF be H, then
    According to question ,
    L = 4H
    sum of LCM and HCF = 125
    ⇒ H + 4H = 125
    ⇒ 5H = 125

    ⇒ H =
    125
    		 = 25
    5

    ∴ L = 4 × 25 = 100

    Correct Option: B

    Let LCM be L and HCF be H, then
    According to question ,
    L = 4H
    sum of LCM and HCF = 125
    ⇒ H + 4H = 125
    ⇒ 5H = 125

    ⇒ H =
    125
    		 = 25
    5

    ∴ L = 4 × 25 = 100
    ∴ Second number =
    L × H
    First number

    Second number =
    100 × 25
    		 = 25
    100

  1. The H.C.F. of two numbers is 96 and their L.C.M. is 1296. If one of the number is 864, the other is








  1. View Hint View Answer Discuss in Forum

    Here , LCM = 1296 , HCF = 96 , First number = 864 , Second number = ?
    As We know that ,
    First number × Second number = HCF × LCM
    ⇒ 864 × Second number = 96 × 1296

    Correct Option: D

    Here , LCM = 1296 , HCF = 96 , First number = 864 , Second number = ?
    As We know that ,
    First number × Second number = HCF × LCM
    ⇒ 864 × Second number = 96 × 1296

    ⇒ Second number =
    96 × 1296
    		 = 144
    864

  1. The LCM of two numbers is 520 and their HCF is 4. If one of the number is 52, then the other number is








  1. View Hint View Answer Discuss in Forum

    Given that , LCM = 520 , HCF = 4 , First number = 52, Second number = ?
    We can find other number with the help of the given formula ,
    First number × second number = HCF × LCM
    ⇒ 52 × second number = 4 × 520

    Correct Option: A

    Given that , LCM = 520 , HCF = 4 , First number = 52, Second number = ?
    We can find other number with the help of the given formula ,
    First number × second number = HCF × LCM
    ⇒ 52 × second number = 4 × 520

    ⇒ Second number =
    4 × 520
    		 = 40
    52

  1. The HCF of two numbers is 15 and their LCM is 225. If one of the number is 75, then the other number is :








  1. View Hint View Answer Discuss in Forum

    Given , LCM = 225 , HCF = 15 , First number = 75 , Second number = ?
    As We know that ,
    First number × Second number = HCF × LCM
    ⇒ 75 × Second number = 15 × 225

    ∴ Second number =
    15 × 225
    75

    Correct Option: D

    Given , LCM = 225 , HCF = 15 , First number = 75 , Second number = ?
    As We know that ,
    First number × Second number = HCF × LCM
    ⇒ 75 × Second number = 15 × 225

    ∴ Second number =
    15 × 225
    		 = 45
    75