Least Common Multiple of 892/84, 677/86, 684/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 892/84, 677/86, 684/756 quickly i.e. 51632082 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 892/84, 677/86, 684/756 is 51632082.

LCM(892/84, 677/86, 684/756) = 51632082

LCM of 892/84, 677/86, 684/756

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 892/84,677/86,684/756

Given numbers are 892/84,677/86,684/756

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 892,677,684

Least Common Multiple of Numerators i.e. LCM of 892,677,684 is 103264164.

GCF of Denominators means GCF of 84,86,756 as per the given fractions.

GCF of 84,86,756 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 892,677,684

LCM of Fractions 892/84,677/86,684/756 is 51632082

2 892, 677, 684
2 446, 677, 342
223, 677, 171

∴ So the LCM of the given numbers is 2 x 2 x 223 x 677 x 171 = 103264164

Least Common Multiple of 892,677,684 with GCF Formula

Least Common Multiple of 892,677,684 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 892,677,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,677,684) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(892,677,684) x common factors =1 x 4 = 4

LCM(892,677,684) = ( 892 × 677 × 684 ) / 4

LCM(892,677,684) = 413056656 / 4

LCM(892,677,684) = 103264164


Lets's calculate GCF of 84,86,756

2 84, 86, 756
42, 43, 378

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103264164/2

Therefore the LCM of Fractions 892/84,677/86,684/756 is 51632082

Greatest Common Factor of 84,86,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,86,756 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

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 84,86,756 . The biggest common factor number is the GCF number.
So the greatest common factor 84,86,756 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 892/84, 677/86, 684/756

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 892/84, 677/86, 684/756?

Answer: LCM of Numerators as per given numbers 892/84, 677/86, 684/756 is

LCM of Numerators i.e. for 892,677,684 is 103264164

GCF of denominators i.e. for 84,86,756 is 2.

Thus, LCM of Fractions is 51632082.Finally, LCM of Fractions for 892/84, 677/86, 684/756 is 51632082.