Least Common Multiple of 48/20, 95/142, 215/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/20, 95/142, 215/178 quickly i.e. 98040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/20, 95/142, 215/178 is 98040.

LCM(48/20, 95/142, 215/178) = 98040

LCM of 48/20, 95/142, 215/178

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 48/20,95/142,215/178

Given numbers are 48/20,95/142,215/178

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 48,95,215

Least Common Multiple of Numerators i.e. LCM of 48,95,215 is 196080.

GCF of Denominators means GCF of 20,142,178 as per the given fractions.

GCF of 20,142,178 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,95,215

LCM of Fractions 48/20,95/142,215/178 is 98040

5 48, 95, 215
48, 19, 43

∴ So the LCM of the given numbers is 5 x 48 x 19 x 43 = 196080

Least Common Multiple of 48,95,215 with GCF Formula

Least Common Multiple of 48,95,215 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 48,95,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,95,215) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(48,95,215) x common factors =1 x 5 = 5

LCM(48,95,215) = ( 48 × 95 × 215 ) / 5

LCM(48,95,215) = 980400 / 5

LCM(48,95,215) = 196080


Lets's calculate GCF of 20,142,178

2 20, 142, 178
10, 71, 89

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 196080/2

Therefore the LCM of Fractions 48/20,95/142,215/178 is 98040

Greatest Common Factor of 20,142,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,142,178 By Matching Biggest Common Factor Method

Factors of 20

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

1,2,4,5,10,20

Factors of 142

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

1,2,71,142

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Greatest Common Factor

We found the factors 20,142,178 . The biggest common factor number is the GCF number.
So the greatest common factor 20,142,178 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 48/20, 95/142, 215/178

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 48/20, 95/142, 215/178?

Answer: LCM of Numerators as per given numbers 48/20, 95/142, 215/178 is

LCM of Numerators i.e. for 48,95,215 is 196080

GCF of denominators i.e. for 20,142,178 is 2.

Thus, LCM of Fractions is 98040.Finally, LCM of Fractions for 48/20, 95/142, 215/178 is 98040.