Least Common Multiple of 361/89, 486/94, 978/66

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 361/89, 486/94, 978/66 quickly i.e. 28597698 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 361/89, 486/94, 978/66 is 28597698.

LCM(361/89, 486/94, 978/66) = 28597698

LCM of 361/89, 486/94, 978/66

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 361/89,486/94,978/66

Given numbers are 361/89,486/94,978/66

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 361,486,978

Least Common Multiple of Numerators i.e. LCM of 361,486,978 is 28597698.

GCF of Denominators means GCF of 89,94,66 as per the given fractions.

GCF of 89,94,66 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 361,486,978

LCM of Fractions 361/89,486/94,978/66 is 28597698

2 361, 486, 978
3 361, 243, 489
361, 81, 163

∴ So the LCM of the given numbers is 2 x 3 x 361 x 81 x 163 = 28597698

Least Common Multiple of 361,486,978 with GCF Formula

Least Common Multiple of 361,486,978 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 361,486,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,486,978) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(361,486,978) x common factors =1 x 6 = 6

LCM(361,486,978) = ( 361 × 486 × 978 ) / 6

LCM(361,486,978) = 171586188 / 6

LCM(361,486,978) = 28597698


Lets's calculate GCF of 89,94,66

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28597698/1

Therefore the LCM of Fractions 361/89,486/94,978/66 is 28597698

Greatest Common Factor of 89,94,66 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,94,66 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Greatest Common Factor

We found the factors 89,94,66 . The biggest common factor number is the GCF number.
So the greatest common factor 89,94,66 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 361/89, 486/94, 978/66

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 361/89, 486/94, 978/66?

Answer: LCM of Numerators as per given numbers 361/89, 486/94, 978/66 is

LCM of Numerators i.e. for 361,486,978 is 28597698

GCF of denominators i.e. for 89,94,66 is 1.

Thus, LCM of Fractions is 28597698.Finally, LCM of Fractions for 361/89, 486/94, 978/66 is 28597698.