Least Common Multiple of 8431/684, 4926/4716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8431/684, 4926/4716 quickly i.e. 41531106/36 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8431/684, 4926/4716 is 41531106/36.

LCM(8431/684, 4926/4716) = 41531106/36

LCM of 8431/684, 4926/4716

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 8431/684,4926/4716

Given numbers are 8431/684,4926/4716

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 8431,4926

Least Common Multiple of Numerators i.e. LCM of 8431,4926 is 41531106.

GCF of Denominators means GCF of 684,4716 as per the given fractions.

GCF of 684,4716 is 36 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8431,4926

LCM of Fractions 8431/684,4926/4716 is 41531106/36

Given numbers has no common factors except 1. So, there LCM is their product i.e 41531106

Least Common Multiple of 8431,4926 with GCF Formula

Least Common Multiple of 8431,4926 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 8431,4926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8431,4926) = 1

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

GCF(8431,4926) x common factors =1 x 1 = 1

LCM(8431,4926) = ( 8431 × 4926 ) / 1

LCM(8431,4926) = 41531106 / 1

LCM(8431,4926) = 41531106


Lets's calculate GCF of 684,4716

2 684, 4716
2 342, 2358
3 171, 1179
3 57, 393
19, 131

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41531106/36

Therefore the LCM of Fractions 8431/684,4926/4716 is 41531106/36

Greatest Common Factor of 684,4716 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,4716 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 4716

List of positive integer factors of 4716 that divides 4716 without a remainder.

1,2,3,4,6,9,12,18,36,131,262,393,524,786,1179,1572,2358,4716

Greatest Common Factor

We found the factors 684,4716 . The biggest common factor number is the GCF number.
So the greatest common factor 684,4716 is 36.


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 8431/684, 4926/4716

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 8431/684, 4926/4716?

Answer: LCM of Numerators as per given numbers 8431/684, 4926/4716 is

LCM of Numerators i.e. for 8431,4926 is 41531106

GCF of denominators i.e. for 684,4716 is 36.

Thus, LCM of Fractions is 41531106/36.Finally, LCM of Fractions for 8431/684, 4926/4716 is 41531106/36.