Least Common Multiple of 960/142, 240/318, 308/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 960/142, 240/318, 308/771 quickly i.e. 73920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 960/142, 240/318, 308/771 is 73920.

LCM(960/142, 240/318, 308/771) = 73920

LCM of 960/142, 240/318, 308/771

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 960/142,240/318,308/771

Given numbers are 960/142,240/318,308/771

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 960,240,308

Least Common Multiple of Numerators i.e. LCM of 960,240,308 is 73920.

GCF of Denominators means GCF of 142,318,771 as per the given fractions.

GCF of 142,318,771 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 960,240,308

LCM of Fractions 960/142,240/318,308/771 is 73920

2 960, 240, 308
2 480, 120, 154
2 240, 60, 77
2 120, 30, 77
3 60, 15, 77
5 20, 5, 77
4, 1, 77

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 4 x 1 x 77 = 73920

Least Common Multiple of 960,240,308 with GCF Formula

Least Common Multiple of 960,240,308 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 960,240,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,240,308) = 4

common factors(in case of two or more numbers have common factors) = 240

GCF(960,240,308) x common factors =4 x 240 = 960

LCM(960,240,308) = ( 960 × 240 × 308 ) / 960

LCM(960,240,308) = 70963200 / 960

LCM(960,240,308) = 73920


Lets's calculate GCF of 142,318,771

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73920/1

Therefore the LCM of Fractions 960/142,240/318,308/771 is 73920

Greatest Common Factor of 142,318,771 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,318,771 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Greatest Common Factor

We found the factors 142,318,771 . The biggest common factor number is the GCF number.
So the greatest common factor 142,318,771 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 960/142, 240/318, 308/771

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 960/142, 240/318, 308/771?

Answer: LCM of Numerators as per given numbers 960/142, 240/318, 308/771 is

LCM of Numerators i.e. for 960,240,308 is 73920

GCF of denominators i.e. for 142,318,771 is 1.

Thus, LCM of Fractions is 73920.Finally, LCM of Fractions for 960/142, 240/318, 308/771 is 73920.