Least Common Multiple of 61/456, 3564/8558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/456, 3564/8558 quickly i.e. 108702 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/456, 3564/8558 is 108702.

LCM(61/456, 3564/8558) = 108702

LCM of 61/456, 3564/8558

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 61/456,3564/8558

Given numbers are 61/456,3564/8558

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 61,3564

Least Common Multiple of Numerators i.e. LCM of 61,3564 is 217404.

GCF of Denominators means GCF of 456,8558 as per the given fractions.

GCF of 456,8558 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,3564

LCM of Fractions 61/456,3564/8558 is 108702

Given numbers has no common factors except 1. So, there LCM is their product i.e 217404

Least Common Multiple of 61,3564 with GCF Formula

Least Common Multiple of 61,3564 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 61,3564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,3564) = 1

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

GCF(61,3564) x common factors =1 x 1 = 1

LCM(61,3564) = ( 61 × 3564 ) / 1

LCM(61,3564) = 217404 / 1

LCM(61,3564) = 217404


Lets's calculate GCF of 456,8558

2 456, 8558
228, 4279

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217404/2

Therefore the LCM of Fractions 61/456,3564/8558 is 108702

Greatest Common Factor of 456,8558 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,8558 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 8558

List of positive integer factors of 8558 that divides 8558 without a remainder.

1,2,11,22,389,778,4279,8558

Greatest Common Factor

We found the factors 456,8558 . The biggest common factor number is the GCF number.
So the greatest common factor 456,8558 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 61/456, 3564/8558

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 61/456, 3564/8558?

Answer: LCM of Numerators as per given numbers 61/456, 3564/8558 is

LCM of Numerators i.e. for 61,3564 is 217404

GCF of denominators i.e. for 456,8558 is 2.

Thus, LCM of Fractions is 108702.Finally, LCM of Fractions for 61/456, 3564/8558 is 108702.