Least Common Multiple of 96/87, 70/82, 40/20, 61/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/87, 70/82, 40/20, 61/623 quickly i.e. 204960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/87, 70/82, 40/20, 61/623 is 204960.

LCM(96/87, 70/82, 40/20, 61/623) = 204960

LCM of 96/87, 70/82, 40/20, 61/623

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 96/87,70/82,40/20,61/623

Given numbers are 96/87,70/82,40/20,61/623

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 96,70,40,61

Least Common Multiple of Numerators i.e. LCM of 96,70,40,61 is 204960.

GCF of Denominators means GCF of 87,82,20,623 as per the given fractions.

GCF of 87,82,20,623 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,70,40,61

LCM of Fractions 96/87,70/82,40/20,61/623 is 204960

2 96, 70, 40, 61
2 48, 35, 20, 61
2 24, 35, 10, 61
5 12, 35, 5, 61
12, 7, 1, 61

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 12 x 7 x 1 x 61 = 204960

Least Common Multiple of 96,70,40,61 with GCF Formula

Least Common Multiple of 96,70,40,61 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 96,70,40,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,70,40,61) = 1

common factors(in case of two or more numbers have common factors) = 80

GCF(96,70,40,61) x common factors =1 x 80 = 80

LCM(96,70,40,61) = ( 96 × 70 × 40 × 61 ) / 80

LCM(96,70,40,61) = 16396800 / 80

LCM(96,70,40,61) = 204960


Lets's calculate GCF of 87,82,20,623

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 204960/1

Therefore the LCM of Fractions 96/87,70/82,40/20,61/623 is 204960

Greatest Common Factor of 87,82,20,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,82,20,623 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors 87,82,20,623 . The biggest common factor number is the GCF number.
So the greatest common factor 87,82,20,623 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 96/87, 70/82, 40/20, 61/623

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 96/87, 70/82, 40/20, 61/623?

Answer: LCM of Numerators as per given numbers 96/87, 70/82, 40/20, 61/623 is

LCM of Numerators i.e. for 96,70,40,61 is 204960

GCF of denominators i.e. for 87,82,20,623 is 1.

Thus, LCM of Fractions is 204960.Finally, LCM of Fractions for 96/87, 70/82, 40/20, 61/623 is 204960.