Least Common Multiple of 387/656, 837/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 387/656, 837/905 quickly i.e. 35991 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 387/656, 837/905 is 35991.

LCM(387/656, 837/905) = 35991

LCM of 387/656, 837/905

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 387/656,837/905

Given numbers are 387/656,837/905

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 387,837

Least Common Multiple of Numerators i.e. LCM of 387,837 is 35991.

GCF of Denominators means GCF of 656,905 as per the given fractions.

GCF of 656,905 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 387,837

LCM of Fractions 387/656,837/905 is 35991

3 387, 837
3 129, 279
43, 93

∴ So the LCM of the given numbers is 3 x 3 x 43 x 93 = 35991

Least Common Multiple of 387,837 with GCF Formula

Least Common Multiple of 387,837 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 387,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,837) = 9

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

GCF(387,837) x common factors =9 x 1 = 9

LCM(387,837) = ( 387 × 837 ) / 9

LCM(387,837) = 323919 / 9

LCM(387,837) = 35991


Lets's calculate GCF of 656,905

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35991/1

Therefore the LCM of Fractions 387/656,837/905 is 35991

Greatest Common Factor of 656,905 By Matching Biggest Common Factor Method

Greatest Common Factor of 656,905 By Matching Biggest Common Factor Method

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Greatest Common Factor

We found the factors 656,905 . The biggest common factor number is the GCF number.
So the greatest common factor 656,905 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 387/656, 837/905

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 387/656, 837/905?

Answer: LCM of Numerators as per given numbers 387/656, 837/905 is

LCM of Numerators i.e. for 387,837 is 35991

GCF of denominators i.e. for 656,905 is 1.

Thus, LCM of Fractions is 35991.Finally, LCM of Fractions for 387/656, 837/905 is 35991.