Least Common Multiple of 980/83, 660/96, 954/251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 980/83, 660/96, 954/251 quickly i.e. 5142060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 980/83, 660/96, 954/251 is 5142060.

LCM(980/83, 660/96, 954/251) = 5142060

LCM of 980/83, 660/96, 954/251

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 980/83,660/96,954/251

Given numbers are 980/83,660/96,954/251

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 980,660,954

Least Common Multiple of Numerators i.e. LCM of 980,660,954 is 5142060.

GCF of Denominators means GCF of 83,96,251 as per the given fractions.

GCF of 83,96,251 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 980,660,954

LCM of Fractions 980/83,660/96,954/251 is 5142060

2 980, 660, 954
2 490, 330, 477
3 245, 165, 477
5 245, 55, 159
49, 11, 159

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 49 x 11 x 159 = 5142060

Least Common Multiple of 980,660,954 with GCF Formula

Least Common Multiple of 980,660,954 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 980,660,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,660,954) = 2

common factors(in case of two or more numbers have common factors) = 60

GCF(980,660,954) x common factors =2 x 60 = 120

LCM(980,660,954) = ( 980 × 660 × 954 ) / 120

LCM(980,660,954) = 617047200 / 120

LCM(980,660,954) = 5142060


Lets's calculate GCF of 83,96,251

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5142060/1

Therefore the LCM of Fractions 980/83,660/96,954/251 is 5142060

Greatest Common Factor of 83,96,251 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,96,251 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Greatest Common Factor

We found the factors 83,96,251 . The biggest common factor number is the GCF number.
So the greatest common factor 83,96,251 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 980/83, 660/96, 954/251

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 980/83, 660/96, 954/251?

Answer: LCM of Numerators as per given numbers 980/83, 660/96, 954/251 is

LCM of Numerators i.e. for 980,660,954 is 5142060

GCF of denominators i.e. for 83,96,251 is 1.

Thus, LCM of Fractions is 5142060.Finally, LCM of Fractions for 980/83, 660/96, 954/251 is 5142060.