Least Common Multiple of 42/124, 8556/7322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/124, 8556/7322 quickly i.e. 29946 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/124, 8556/7322 is 29946.

LCM(42/124, 8556/7322) = 29946

LCM of 42/124, 8556/7322

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 42/124,8556/7322

Given numbers are 42/124,8556/7322

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 42,8556

Least Common Multiple of Numerators i.e. LCM of 42,8556 is 59892.

GCF of Denominators means GCF of 124,7322 as per the given fractions.

GCF of 124,7322 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,8556

LCM of Fractions 42/124,8556/7322 is 29946

2 42, 8556
3 21, 4278
7, 1426

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1426 = 59892

Least Common Multiple of 42,8556 with GCF Formula

Least Common Multiple of 42,8556 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 42,8556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,8556) = 6

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

GCF(42,8556) x common factors =6 x 1 = 6

LCM(42,8556) = ( 42 × 8556 ) / 6

LCM(42,8556) = 359352 / 6

LCM(42,8556) = 59892


Lets's calculate GCF of 124,7322

2 124, 7322
62, 3661

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59892/2

Therefore the LCM of Fractions 42/124,8556/7322 is 29946

Greatest Common Factor of 124,7322 By Matching Biggest Common Factor Method

Greatest Common Factor of 124,7322 By Matching Biggest Common Factor Method

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 7322

List of positive integer factors of 7322 that divides 7322 without a remainder.

1,2,7,14,523,1046,3661,7322

Greatest Common Factor

We found the factors 124,7322 . The biggest common factor number is the GCF number.
So the greatest common factor 124,7322 is 2.


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 42/124, 8556/7322

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 42/124, 8556/7322?

Answer: LCM of Numerators as per given numbers 42/124, 8556/7322 is

LCM of Numerators i.e. for 42,8556 is 59892

GCF of denominators i.e. for 124,7322 is 2.

Thus, LCM of Fractions is 29946.Finally, LCM of Fractions for 42/124, 8556/7322 is 29946.