Least Common Multiple of 684/66, 938/6347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 684/66, 938/6347 quickly i.e. 320796/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 684/66, 938/6347 is 320796/11.

LCM(684/66, 938/6347) = 320796/11

LCM of 684/66, 938/6347

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 684/66,938/6347

Given numbers are 684/66,938/6347

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 684,938

Least Common Multiple of Numerators i.e. LCM of 684,938 is 320796.

GCF of Denominators means GCF of 66,6347 as per the given fractions.

GCF of 66,6347 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 684,938

LCM of Fractions 684/66,938/6347 is 320796/11

2 684, 938
342, 469

∴ So the LCM of the given numbers is 2 x 342 x 469 = 320796

Least Common Multiple of 684,938 with GCF Formula

Least Common Multiple of 684,938 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 684,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,938) = 2

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

GCF(684,938) x common factors =2 x 1 = 2

LCM(684,938) = ( 684 × 938 ) / 2

LCM(684,938) = 641592 / 2

LCM(684,938) = 320796


Lets's calculate GCF of 66,6347

11 66, 6347
6, 577

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 320796/11

Therefore the LCM of Fractions 684/66,938/6347 is 320796/11

Greatest Common Factor of 66,6347 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,6347 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 6347

List of positive integer factors of 6347 that divides 6347 without a remainder.

1,11,577,6347

Greatest Common Factor

We found the factors 66,6347 . The biggest common factor number is the GCF number.
So the greatest common factor 66,6347 is 11.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 684/66, 938/6347

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 684/66, 938/6347?

Answer: LCM of Numerators as per given numbers 684/66, 938/6347 is

LCM of Numerators i.e. for 684,938 is 320796

GCF of denominators i.e. for 66,6347 is 11.

Thus, LCM of Fractions is 320796/11.Finally, LCM of Fractions for 684/66, 938/6347 is 320796/11.