Least Common Multiple of 687/892, 876/612, 412/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 687/892, 876/612, 412/776 quickly i.e. 5165553 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 687/892, 876/612, 412/776 is 5165553.

LCM(687/892, 876/612, 412/776) = 5165553

LCM of 687/892, 876/612, 412/776

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 687/892,876/612,412/776

Given numbers are 687/892,876/612,412/776

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 687,876,412

Least Common Multiple of Numerators i.e. LCM of 687,876,412 is 20662212.

GCF of Denominators means GCF of 892,612,776 as per the given fractions.

GCF of 892,612,776 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 687,876,412

LCM of Fractions 687/892,876/612,412/776 is 5165553

2 687, 876, 412
2 687, 438, 206
3 687, 219, 103
229, 73, 103

∴ So the LCM of the given numbers is 2 x 2 x 3 x 229 x 73 x 103 = 20662212

Least Common Multiple of 687,876,412 with GCF Formula

Least Common Multiple of 687,876,412 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 687,876,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,876,412) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(687,876,412) x common factors =1 x 12 = 12

LCM(687,876,412) = ( 687 × 876 × 412 ) / 12

LCM(687,876,412) = 247946544 / 12

LCM(687,876,412) = 20662212


Lets's calculate GCF of 892,612,776

2 892, 612, 776
2 446, 306, 388
223, 153, 194

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20662212/4

Therefore the LCM of Fractions 687/892,876/612,412/776 is 5165553

Greatest Common Factor of 892,612,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,612,776 By Matching Biggest Common Factor Method

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors 892,612,776 . The biggest common factor number is the GCF number.
So the greatest common factor 892,612,776 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 687/892, 876/612, 412/776

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 687/892, 876/612, 412/776?

Answer: LCM of Numerators as per given numbers 687/892, 876/612, 412/776 is

LCM of Numerators i.e. for 687,876,412 is 20662212

GCF of denominators i.e. for 892,612,776 is 4.

Thus, LCM of Fractions is 5165553.Finally, LCM of Fractions for 687/892, 876/612, 412/776 is 5165553.