Least Common Multiple of 92/856, 616/232, 144/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/856, 616/232, 144/796 quickly i.e. 63756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/856, 616/232, 144/796 is 63756.

LCM(92/856, 616/232, 144/796) = 63756

LCM of 92/856, 616/232, 144/796

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 92/856,616/232,144/796

Given numbers are 92/856,616/232,144/796

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 92,616,144

Least Common Multiple of Numerators i.e. LCM of 92,616,144 is 255024.

GCF of Denominators means GCF of 856,232,796 as per the given fractions.

GCF of 856,232,796 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,616,144

LCM of Fractions 92/856,616/232,144/796 is 63756

2 92, 616, 144
2 46, 308, 72
2 23, 154, 36
23, 77, 18

∴ So the LCM of the given numbers is 2 x 2 x 2 x 23 x 77 x 18 = 255024

Least Common Multiple of 92,616,144 with GCF Formula

Least Common Multiple of 92,616,144 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 92,616,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,616,144) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(92,616,144) x common factors =4 x 8 = 32

LCM(92,616,144) = ( 92 × 616 × 144 ) / 32

LCM(92,616,144) = 8160768 / 32

LCM(92,616,144) = 255024


Lets's calculate GCF of 856,232,796

2 856, 232, 796
2 428, 116, 398
214, 58, 199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255024/4

Therefore the LCM of Fractions 92/856,616/232,144/796 is 63756

Greatest Common Factor of 856,232,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,232,796 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 856,232,796 . The biggest common factor number is the GCF number.
So the greatest common factor 856,232,796 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 92/856, 616/232, 144/796

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 92/856, 616/232, 144/796?

Answer: LCM of Numerators as per given numbers 92/856, 616/232, 144/796 is

LCM of Numerators i.e. for 92,616,144 is 255024

GCF of denominators i.e. for 856,232,796 is 4.

Thus, LCM of Fractions is 63756.Finally, LCM of Fractions for 92/856, 616/232, 144/796 is 63756.