Least Common Multiple of 99/95, 90/91, 99/56, 24/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/95, 90/91, 99/56, 24/221 quickly i.e. 3960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/95, 90/91, 99/56, 24/221 is 3960.

LCM(99/95, 90/91, 99/56, 24/221) = 3960

LCM of 99/95, 90/91, 99/56, 24/221

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 99/95,90/91,99/56,24/221

Given numbers are 99/95,90/91,99/56,24/221

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 99,90,99,24

Least Common Multiple of Numerators i.e. LCM of 99,90,99,24 is 3960.

GCF of Denominators means GCF of 95,91,56,221 as per the given fractions.

GCF of 95,91,56,221 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,90,99,24

LCM of Fractions 99/95,90/91,99/56,24/221 is 3960

2 99, 90, 99, 24
3 99, 45, 99, 12
3 33, 15, 33, 4
11 11, 5, 11, 4
1, 5, 1, 4

∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 1 x 5 x 1 x 4 = 3960

Least Common Multiple of 99,90,99,24 with GCF Formula

Least Common Multiple of 99,90,99,24 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 99,90,99,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,90,99,24) = 3

common factors(in case of two or more numbers have common factors) = 1782

GCF(99,90,99,24) x common factors =3 x 1782 = 5346

LCM(99,90,99,24) = ( 99 × 90 × 99 × 24 ) / 5346

LCM(99,90,99,24) = 21170160 / 5346

LCM(99,90,99,24) = 3960


Lets's calculate GCF of 95,91,56,221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3960/1

Therefore the LCM of Fractions 99/95,90/91,99/56,24/221 is 3960

Greatest Common Factor of 95,91,56,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,91,56,221 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 95,91,56,221 . The biggest common factor number is the GCF number.
So the greatest common factor 95,91,56,221 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 99/95, 90/91, 99/56, 24/221

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 99/95, 90/91, 99/56, 24/221?

Answer: LCM of Numerators as per given numbers 99/95, 90/91, 99/56, 24/221 is

LCM of Numerators i.e. for 99,90,99,24 is 3960

GCF of denominators i.e. for 95,91,56,221 is 1.

Thus, LCM of Fractions is 3960.Finally, LCM of Fractions for 99/95, 90/91, 99/56, 24/221 is 3960.