Least Common Multiple of 8561/740, 6428/5661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8561/740, 6428/5661 quickly i.e. 55030108/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8561/740, 6428/5661 is 55030108/37.

LCM(8561/740, 6428/5661) = 55030108/37

LCM of 8561/740, 6428/5661

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 8561/740,6428/5661

Given numbers are 8561/740,6428/5661

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 8561,6428

Least Common Multiple of Numerators i.e. LCM of 8561,6428 is 55030108.

GCF of Denominators means GCF of 740,5661 as per the given fractions.

GCF of 740,5661 is 37 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8561,6428

LCM of Fractions 8561/740,6428/5661 is 55030108/37

Given numbers has no common factors except 1. So, there LCM is their product i.e 55030108

Least Common Multiple of 8561,6428 with GCF Formula

Least Common Multiple of 8561,6428 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 8561,6428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8561,6428) = 1

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

GCF(8561,6428) x common factors =1 x 1 = 1

LCM(8561,6428) = ( 8561 × 6428 ) / 1

LCM(8561,6428) = 55030108 / 1

LCM(8561,6428) = 55030108


Lets's calculate GCF of 740,5661

37 740, 5661
20, 153

∴ So the GCF of the given numbers is 37 = 37

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55030108/37

Therefore the LCM of Fractions 8561/740,6428/5661 is 55030108/37

Greatest Common Factor of 740,5661 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,5661 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 5661

List of positive integer factors of 5661 that divides 5661 without a remainder.

1,3,9,17,37,51,111,153,333,629,1887,5661

Greatest Common Factor

We found the factors 740,5661 . The biggest common factor number is the GCF number.
So the greatest common factor 740,5661 is 37.


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 8561/740, 6428/5661

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 8561/740, 6428/5661?

Answer: LCM of Numerators as per given numbers 8561/740, 6428/5661 is

LCM of Numerators i.e. for 8561,6428 is 55030108

GCF of denominators i.e. for 740,5661 is 37.

Thus, LCM of Fractions is 55030108/37.Finally, LCM of Fractions for 8561/740, 6428/5661 is 55030108/37.