Least Common Multiple of 8379/172, 3822/8986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8379/172, 3822/8986 quickly i.e. 108927 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8379/172, 3822/8986 is 108927.

LCM(8379/172, 3822/8986) = 108927

LCM of 8379/172, 3822/8986

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 8379/172,3822/8986

Given numbers are 8379/172,3822/8986

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 8379,3822

Least Common Multiple of Numerators i.e. LCM of 8379,3822 is 217854.

GCF of Denominators means GCF of 172,8986 as per the given fractions.

GCF of 172,8986 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8379,3822

LCM of Fractions 8379/172,3822/8986 is 108927

3 8379, 3822
7 2793, 1274
7 399, 182
57, 26

∴ So the LCM of the given numbers is 3 x 7 x 7 x 57 x 26 = 217854

Least Common Multiple of 8379,3822 with GCF Formula

Least Common Multiple of 8379,3822 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 8379,3822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8379,3822) = 147

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

GCF(8379,3822) x common factors =147 x 1 = 147

LCM(8379,3822) = ( 8379 × 3822 ) / 147

LCM(8379,3822) = 32024538 / 147

LCM(8379,3822) = 217854


Lets's calculate GCF of 172,8986

2 172, 8986
86, 4493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217854/2

Therefore the LCM of Fractions 8379/172,3822/8986 is 108927

Greatest Common Factor of 172,8986 By Matching Biggest Common Factor Method

Greatest Common Factor of 172,8986 By Matching Biggest Common Factor Method

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Factors of 8986

List of positive integer factors of 8986 that divides 8986 without a remainder.

1,2,4493,8986

Greatest Common Factor

We found the factors 172,8986 . The biggest common factor number is the GCF number.
So the greatest common factor 172,8986 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 8379/172, 3822/8986

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 8379/172, 3822/8986?

Answer: LCM of Numerators as per given numbers 8379/172, 3822/8986 is

LCM of Numerators i.e. for 8379,3822 is 217854

GCF of denominators i.e. for 172,8986 is 2.

Thus, LCM of Fractions is 108927.Finally, LCM of Fractions for 8379/172, 3822/8986 is 108927.