Least Common Multiple of 61/90, 422/61, 648/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/90, 422/61, 648/675 quickly i.e. 8340408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/90, 422/61, 648/675 is 8340408.

LCM(61/90, 422/61, 648/675) = 8340408

LCM of 61/90, 422/61, 648/675

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 61/90,422/61,648/675

Given numbers are 61/90,422/61,648/675

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 61,422,648

Least Common Multiple of Numerators i.e. LCM of 61,422,648 is 8340408.

GCF of Denominators means GCF of 90,61,675 as per the given fractions.

GCF of 90,61,675 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,422,648

LCM of Fractions 61/90,422/61,648/675 is 8340408

2 61, 422, 648
61, 211, 324

∴ So the LCM of the given numbers is 2 x 61 x 211 x 324 = 8340408

Least Common Multiple of 61,422,648 with GCF Formula

Least Common Multiple of 61,422,648 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 61,422,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,422,648) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(61,422,648) x common factors =1 x 2 = 2

LCM(61,422,648) = ( 61 × 422 × 648 ) / 2

LCM(61,422,648) = 16680816 / 2

LCM(61,422,648) = 8340408


Lets's calculate GCF of 90,61,675

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8340408/1

Therefore the LCM of Fractions 61/90,422/61,648/675 is 8340408

Greatest Common Factor of 90,61,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,61,675 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 90,61,675 . The biggest common factor number is the GCF number.
So the greatest common factor 90,61,675 is 1.


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 61/90, 422/61, 648/675

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 61/90, 422/61, 648/675?

Answer: LCM of Numerators as per given numbers 61/90, 422/61, 648/675 is

LCM of Numerators i.e. for 61,422,648 is 8340408

GCF of denominators i.e. for 90,61,675 is 1.

Thus, LCM of Fractions is 8340408.Finally, LCM of Fractions for 61/90, 422/61, 648/675 is 8340408.