Least Common Multiple of 50/90, 72/25, 96/21, 89/935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/90, 72/25, 96/21, 89/935 quickly i.e. 640800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/90, 72/25, 96/21, 89/935 is 640800.

LCM(50/90, 72/25, 96/21, 89/935) = 640800

LCM of 50/90, 72/25, 96/21, 89/935

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 50/90,72/25,96/21,89/935

Given numbers are 50/90,72/25,96/21,89/935

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 50,72,96,89

Least Common Multiple of Numerators i.e. LCM of 50,72,96,89 is 640800.

GCF of Denominators means GCF of 90,25,21,935 as per the given fractions.

GCF of 90,25,21,935 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,72,96,89

LCM of Fractions 50/90,72/25,96/21,89/935 is 640800

2 50, 72, 96, 89
2 25, 36, 48, 89
2 25, 18, 24, 89
3 25, 9, 12, 89
25, 3, 4, 89

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 25 x 3 x 4 x 89 = 640800

Least Common Multiple of 50,72,96,89 with GCF Formula

Least Common Multiple of 50,72,96,89 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 50,72,96,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,72,96,89) = 1

common factors(in case of two or more numbers have common factors) = 48

GCF(50,72,96,89) x common factors =1 x 48 = 48

LCM(50,72,96,89) = ( 50 × 72 × 96 × 89 ) / 48

LCM(50,72,96,89) = 30758400 / 48

LCM(50,72,96,89) = 640800


Lets's calculate GCF of 90,25,21,935

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 640800/1

Therefore the LCM of Fractions 50/90,72/25,96/21,89/935 is 640800

Greatest Common Factor of 90,25,21,935 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,25,21,935 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Greatest Common Factor

We found the factors 90,25,21,935 . The biggest common factor number is the GCF number.
So the greatest common factor 90,25,21,935 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 50/90, 72/25, 96/21, 89/935

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 50/90, 72/25, 96/21, 89/935?

Answer: LCM of Numerators as per given numbers 50/90, 72/25, 96/21, 89/935 is

LCM of Numerators i.e. for 50,72,96,89 is 640800

GCF of denominators i.e. for 90,25,21,935 is 1.

Thus, LCM of Fractions is 640800.Finally, LCM of Fractions for 50/90, 72/25, 96/21, 89/935 is 640800.