Least Common Multiple of 3516/660, 8729/2356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3516/660, 8729/2356 quickly i.e. 7672791 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3516/660, 8729/2356 is 7672791.

LCM(3516/660, 8729/2356) = 7672791

LCM of 3516/660, 8729/2356

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 3516/660,8729/2356

Given numbers are 3516/660,8729/2356

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 3516,8729

Least Common Multiple of Numerators i.e. LCM of 3516,8729 is 30691164.

GCF of Denominators means GCF of 660,2356 as per the given fractions.

GCF of 660,2356 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3516,8729

LCM of Fractions 3516/660,8729/2356 is 7672791

Given numbers has no common factors except 1. So, there LCM is their product i.e 30691164

Least Common Multiple of 3516,8729 with GCF Formula

Least Common Multiple of 3516,8729 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 3516,8729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3516,8729) = 1

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

GCF(3516,8729) x common factors =1 x 1 = 1

LCM(3516,8729) = ( 3516 × 8729 ) / 1

LCM(3516,8729) = 30691164 / 1

LCM(3516,8729) = 30691164


Lets's calculate GCF of 660,2356

2 660, 2356
2 330, 1178
165, 589

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30691164/4

Therefore the LCM of Fractions 3516/660,8729/2356 is 7672791

Greatest Common Factor of 660,2356 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,2356 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 2356

List of positive integer factors of 2356 that divides 2356 without a remainder.

1,2,4,19,31,38,62,76,124,589,1178,2356

Greatest Common Factor

We found the factors 660,2356 . The biggest common factor number is the GCF number.
So the greatest common factor 660,2356 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 3516/660, 8729/2356

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 3516/660, 8729/2356?

Answer: LCM of Numerators as per given numbers 3516/660, 8729/2356 is

LCM of Numerators i.e. for 3516,8729 is 30691164

GCF of denominators i.e. for 660,2356 is 4.

Thus, LCM of Fractions is 7672791.Finally, LCM of Fractions for 3516/660, 8729/2356 is 7672791.