Least Common Multiple of 302/85, 141/12, 122/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 302/85, 141/12, 122/240 quickly i.e. 2597502 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 302/85, 141/12, 122/240 is 2597502.

LCM(302/85, 141/12, 122/240) = 2597502

LCM of 302/85, 141/12, 122/240

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 302/85,141/12,122/240

Given numbers are 302/85,141/12,122/240

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 302,141,122

Least Common Multiple of Numerators i.e. LCM of 302,141,122 is 2597502.

GCF of Denominators means GCF of 85,12,240 as per the given fractions.

GCF of 85,12,240 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 302,141,122

LCM of Fractions 302/85,141/12,122/240 is 2597502

2 302, 141, 122
151, 141, 61

∴ So the LCM of the given numbers is 2 x 151 x 141 x 61 = 2597502

Least Common Multiple of 302,141,122 with GCF Formula

Least Common Multiple of 302,141,122 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 302,141,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(302,141,122) = 1

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

GCF(302,141,122) x common factors =1 x 2 = 2

LCM(302,141,122) = ( 302 × 141 × 122 ) / 2

LCM(302,141,122) = 5195004 / 2

LCM(302,141,122) = 2597502


Lets's calculate GCF of 85,12,240

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2597502/1

Therefore the LCM of Fractions 302/85,141/12,122/240 is 2597502

Greatest Common Factor of 85,12,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,12,240 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 85,12,240 . The biggest common factor number is the GCF number.
So the greatest common factor 85,12,240 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 302/85, 141/12, 122/240

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 302/85, 141/12, 122/240?

Answer: LCM of Numerators as per given numbers 302/85, 141/12, 122/240 is

LCM of Numerators i.e. for 302,141,122 is 2597502

GCF of denominators i.e. for 85,12,240 is 1.

Thus, LCM of Fractions is 2597502.Finally, LCM of Fractions for 302/85, 141/12, 122/240 is 2597502.