Least Common Multiple of 30/25, 75/38, 88/91, 215/98

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/25, 75/38, 88/91, 215/98 quickly i.e. 283800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/25, 75/38, 88/91, 215/98 is 283800.

LCM(30/25, 75/38, 88/91, 215/98) = 283800

LCM of 30/25, 75/38, 88/91, 215/98

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 30/25,75/38,88/91,215/98

Given numbers are 30/25,75/38,88/91,215/98

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 30,75,88,215

Least Common Multiple of Numerators i.e. LCM of 30,75,88,215 is 283800.

GCF of Denominators means GCF of 25,38,91,98 as per the given fractions.

GCF of 25,38,91,98 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,75,88,215

LCM of Fractions 30/25,75/38,88/91,215/98 is 283800

2 30, 75, 88, 215
3 15, 75, 44, 215
5 5, 25, 44, 215
1, 5, 44, 43

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 5 x 44 x 43 = 283800

Least Common Multiple of 30,75,88,215 with GCF Formula

Least Common Multiple of 30,75,88,215 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 30,75,88,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,75,88,215) = 1

common factors(in case of two or more numbers have common factors) = 150

GCF(30,75,88,215) x common factors =1 x 150 = 150

LCM(30,75,88,215) = ( 30 × 75 × 88 × 215 ) / 150

LCM(30,75,88,215) = 42570000 / 150

LCM(30,75,88,215) = 283800


Lets's calculate GCF of 25,38,91,98

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 283800/1

Therefore the LCM of Fractions 30/25,75/38,88/91,215/98 is 283800

Greatest Common Factor of 25,38,91,98 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,38,91,98 By Matching Biggest Common Factor Method

Factors of 25

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

1,5,25

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 91

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

1,7,13,91

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Greatest Common Factor

We found the factors 25,38,91,98 . The biggest common factor number is the GCF number.
So the greatest common factor 25,38,91,98 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 30/25, 75/38, 88/91, 215/98

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 30/25, 75/38, 88/91, 215/98?

Answer: LCM of Numerators as per given numbers 30/25, 75/38, 88/91, 215/98 is

LCM of Numerators i.e. for 30,75,88,215 is 283800

GCF of denominators i.e. for 25,38,91,98 is 1.

Thus, LCM of Fractions is 283800.Finally, LCM of Fractions for 30/25, 75/38, 88/91, 215/98 is 283800.