Least Common Multiple of 978/89, 321/64, 187/151

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 978/89, 321/64, 187/151 quickly i.e. 19568802 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 978/89, 321/64, 187/151 is 19568802.

LCM(978/89, 321/64, 187/151) = 19568802

LCM of 978/89, 321/64, 187/151

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 978/89,321/64,187/151

Given numbers are 978/89,321/64,187/151

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 978,321,187

Least Common Multiple of Numerators i.e. LCM of 978,321,187 is 19568802.

GCF of Denominators means GCF of 89,64,151 as per the given fractions.

GCF of 89,64,151 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 978,321,187

LCM of Fractions 978/89,321/64,187/151 is 19568802

3 978, 321, 187
326, 107, 187

∴ So the LCM of the given numbers is 3 x 326 x 107 x 187 = 19568802

Least Common Multiple of 978,321,187 with GCF Formula

Least Common Multiple of 978,321,187 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 978,321,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,321,187) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(978,321,187) x common factors =1 x 3 = 3

LCM(978,321,187) = ( 978 × 321 × 187 ) / 3

LCM(978,321,187) = 58706406 / 3

LCM(978,321,187) = 19568802


Lets's calculate GCF of 89,64,151

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19568802/1

Therefore the LCM of Fractions 978/89,321/64,187/151 is 19568802

Greatest Common Factor of 89,64,151 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,64,151 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 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Greatest Common Factor

We found the factors 89,64,151 . The biggest common factor number is the GCF number.
So the greatest common factor 89,64,151 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 978/89, 321/64, 187/151

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 978/89, 321/64, 187/151?

Answer: LCM of Numerators as per given numbers 978/89, 321/64, 187/151 is

LCM of Numerators i.e. for 978,321,187 is 19568802

GCF of denominators i.e. for 89,64,151 is 1.

Thus, LCM of Fractions is 19568802.Finally, LCM of Fractions for 978/89, 321/64, 187/151 is 19568802.