Least Common Multiple of 100/52, 424/1968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 100/52, 424/1968 quickly i.e. 2650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 100/52, 424/1968 is 2650.

LCM(100/52, 424/1968) = 2650

LCM of 100/52, 424/1968

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 100/52,424/1968

Given numbers are 100/52,424/1968

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 100,424

Least Common Multiple of Numerators i.e. LCM of 100,424 is 10600.

GCF of Denominators means GCF of 52,1968 as per the given fractions.

GCF of 52,1968 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 100,424

LCM of Fractions 100/52,424/1968 is 2650

2 100, 424
2 50, 212
25, 106

∴ So the LCM of the given numbers is 2 x 2 x 25 x 106 = 10600

Least Common Multiple of 100,424 with GCF Formula

Least Common Multiple of 100,424 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 100,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,424) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(100,424) x common factors =4 x 1 = 4

LCM(100,424) = ( 100 × 424 ) / 4

LCM(100,424) = 42400 / 4

LCM(100,424) = 10600


Lets's calculate GCF of 52,1968

2 52, 1968
2 26, 984
13, 492

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10600/4

Therefore the LCM of Fractions 100/52,424/1968 is 2650

Greatest Common Factor of 52,1968 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,1968 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 1968

List of positive integer factors of 1968 that divides 1968 without a remainder.

1,2,3,4,6,8,12,16,24,41,48,82,123,164,246,328,492,656,984,1968

Greatest Common Factor

We found the factors 52,1968 . The biggest common factor number is the GCF number.
So the greatest common factor 52,1968 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 100/52, 424/1968

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 100/52, 424/1968?

Answer: LCM of Numerators as per given numbers 100/52, 424/1968 is

LCM of Numerators i.e. for 100,424 is 10600

GCF of denominators i.e. for 52,1968 is 4.

Thus, LCM of Fractions is 2650.Finally, LCM of Fractions for 100/52, 424/1968 is 2650.