Least Common Multiple of 6237/918, 9674/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6237/918, 9674/756 quickly i.e. 159621 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6237/918, 9674/756 is 159621.

LCM(6237/918, 9674/756) = 159621

LCM of 6237/918, 9674/756

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 6237/918,9674/756

Given numbers are 6237/918,9674/756

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 6237,9674

Least Common Multiple of Numerators i.e. LCM of 6237,9674 is 8619534.

GCF of Denominators means GCF of 918,756 as per the given fractions.

GCF of 918,756 is 54 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6237,9674

LCM of Fractions 6237/918,9674/756 is 159621

7 6237, 9674
891, 1382

∴ So the LCM of the given numbers is 7 x 891 x 1382 = 8619534

Least Common Multiple of 6237,9674 with GCF Formula

Least Common Multiple of 6237,9674 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 6237,9674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6237,9674) = 7

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

GCF(6237,9674) x common factors =7 x 1 = 7

LCM(6237,9674) = ( 6237 × 9674 ) / 7

LCM(6237,9674) = 60336738 / 7

LCM(6237,9674) = 8619534


Lets's calculate GCF of 918,756

2 918, 756
3 459, 378
3 153, 126
3 51, 42
17, 14

∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 = 54

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8619534/54

Therefore the LCM of Fractions 6237/918,9674/756 is 159621

Greatest Common Factor of 918,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,756 By Matching Biggest Common Factor Method

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 918,756 . The biggest common factor number is the GCF number.
So the greatest common factor 918,756 is 54.


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 6237/918, 9674/756

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 6237/918, 9674/756?

Answer: LCM of Numerators as per given numbers 6237/918, 9674/756 is

LCM of Numerators i.e. for 6237,9674 is 8619534

GCF of denominators i.e. for 918,756 is 54.

Thus, LCM of Fractions is 159621.Finally, LCM of Fractions for 6237/918, 9674/756 is 159621.