Least Common Multiple of 87/72, 50/41, 178/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/72, 50/41, 178/315 quickly i.e. 387150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/72, 50/41, 178/315 is 387150.

LCM(87/72, 50/41, 178/315) = 387150

LCM of 87/72, 50/41, 178/315

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 87/72,50/41,178/315

Given numbers are 87/72,50/41,178/315

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 87,50,178

Least Common Multiple of Numerators i.e. LCM of 87,50,178 is 387150.

GCF of Denominators means GCF of 72,41,315 as per the given fractions.

GCF of 72,41,315 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,50,178

LCM of Fractions 87/72,50/41,178/315 is 387150

2 87, 50, 178
87, 25, 89

∴ So the LCM of the given numbers is 2 x 87 x 25 x 89 = 387150

Least Common Multiple of 87,50,178 with GCF Formula

Least Common Multiple of 87,50,178 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 87,50,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,50,178) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(87,50,178) x common factors =1 x 2 = 2

LCM(87,50,178) = ( 87 × 50 × 178 ) / 2

LCM(87,50,178) = 774300 / 2

LCM(87,50,178) = 387150


Lets's calculate GCF of 72,41,315

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 387150/1

Therefore the LCM of Fractions 87/72,50/41,178/315 is 387150

Greatest Common Factor of 72,41,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,41,315 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 72,41,315 . The biggest common factor number is the GCF number.
So the greatest common factor 72,41,315 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 87/72, 50/41, 178/315

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 87/72, 50/41, 178/315?

Answer: LCM of Numerators as per given numbers 87/72, 50/41, 178/315 is

LCM of Numerators i.e. for 87,50,178 is 387150

GCF of denominators i.e. for 72,41,315 is 1.

Thus, LCM of Fractions is 387150.Finally, LCM of Fractions for 87/72, 50/41, 178/315 is 387150.