Least Common Multiple of 516/351, 8368/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 516/351, 8368/546 quickly i.e. 1079472/39 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 516/351, 8368/546 is 1079472/39.

LCM(516/351, 8368/546) = 1079472/39

LCM of 516/351, 8368/546

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 516/351,8368/546

Given numbers are 516/351,8368/546

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 516,8368

Least Common Multiple of Numerators i.e. LCM of 516,8368 is 1079472.

GCF of Denominators means GCF of 351,546 as per the given fractions.

GCF of 351,546 is 39 as it is the largest common factor for these numbers.

Lets's calculate LCM of 516,8368

LCM of Fractions 516/351,8368/546 is 1079472/39

2 516, 8368
2 258, 4184
129, 2092

∴ So the LCM of the given numbers is 2 x 2 x 129 x 2092 = 1079472

Least Common Multiple of 516,8368 with GCF Formula

Least Common Multiple of 516,8368 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 516,8368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,8368) = 4

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

GCF(516,8368) x common factors =4 x 1 = 4

LCM(516,8368) = ( 516 × 8368 ) / 4

LCM(516,8368) = 4317888 / 4

LCM(516,8368) = 1079472


Lets's calculate GCF of 351,546

3 351, 546
13 117, 182
9, 14

∴ So the GCF of the given numbers is 3 x 13 = 39

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1079472/39

Therefore the LCM of Fractions 516/351,8368/546 is 1079472/39

Greatest Common Factor of 351,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,546 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 351,546 . The biggest common factor number is the GCF number.
So the greatest common factor 351,546 is 39.


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 516/351, 8368/546

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 516/351, 8368/546?

Answer: LCM of Numerators as per given numbers 516/351, 8368/546 is

LCM of Numerators i.e. for 516,8368 is 1079472

GCF of denominators i.e. for 351,546 is 39.

Thus, LCM of Fractions is 1079472/39.Finally, LCM of Fractions for 516/351, 8368/546 is 1079472/39.