Least Common Multiple of 96/80, 21/22, 506/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/80, 21/22, 506/142 quickly i.e. 85008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/80, 21/22, 506/142 is 85008.

LCM(96/80, 21/22, 506/142) = 85008

LCM of 96/80, 21/22, 506/142

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 96/80,21/22,506/142

Given numbers are 96/80,21/22,506/142

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 96,21,506

Least Common Multiple of Numerators i.e. LCM of 96,21,506 is 170016.

GCF of Denominators means GCF of 80,22,142 as per the given fractions.

GCF of 80,22,142 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,21,506

LCM of Fractions 96/80,21/22,506/142 is 85008

2 96, 21, 506
3 48, 21, 253
16, 7, 253

∴ So the LCM of the given numbers is 2 x 3 x 16 x 7 x 253 = 170016

Least Common Multiple of 96,21,506 with GCF Formula

Least Common Multiple of 96,21,506 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 96,21,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,21,506) = 1

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

GCF(96,21,506) x common factors =1 x 6 = 6

LCM(96,21,506) = ( 96 × 21 × 506 ) / 6

LCM(96,21,506) = 1020096 / 6

LCM(96,21,506) = 170016


Lets's calculate GCF of 80,22,142

2 80, 22, 142
40, 11, 71

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170016/2

Therefore the LCM of Fractions 96/80,21/22,506/142 is 85008

Greatest Common Factor of 80,22,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,22,142 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 142

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

1,2,71,142

Greatest Common Factor

We found the factors 80,22,142 . The biggest common factor number is the GCF number.
So the greatest common factor 80,22,142 is 2.


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 96/80, 21/22, 506/142

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 96/80, 21/22, 506/142?

Answer: LCM of Numerators as per given numbers 96/80, 21/22, 506/142 is

LCM of Numerators i.e. for 96,21,506 is 170016

GCF of denominators i.e. for 80,22,142 is 2.

Thus, LCM of Fractions is 85008.Finally, LCM of Fractions for 96/80, 21/22, 506/142 is 85008.