Least Common Multiple of 87/384, 41/938, 247/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/384, 41/938, 247/312 quickly i.e. 881049/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/384, 41/938, 247/312 is 881049/2.

LCM(87/384, 41/938, 247/312) = 881049/2

LCM of 87/384, 41/938, 247/312

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 87/384,41/938,247/312

Given numbers are 87/384,41/938,247/312

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 87,41,247

Least Common Multiple of Numerators i.e. LCM of 87,41,247 is 881049.

GCF of Denominators means GCF of 384,938,312 as per the given fractions.

GCF of 384,938,312 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,41,247

LCM of Fractions 87/384,41/938,247/312 is 881049/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 881049

Least Common Multiple of 87,41,247 with GCF Formula

Least Common Multiple of 87,41,247 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 87,41,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,41,247) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(87,41,247) x common factors =1 x 1 = 1

LCM(87,41,247) = ( 87 × 41 × 247 ) / 1

LCM(87,41,247) = 881049 / 1

LCM(87,41,247) = 881049


Lets's calculate GCF of 384,938,312

2 384, 938, 312
192, 469, 156

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 881049/2

Therefore the LCM of Fractions 87/384,41/938,247/312 is 881049/2

Greatest Common Factor of 384,938,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,938,312 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 384,938,312 . The biggest common factor number is the GCF number.
So the greatest common factor 384,938,312 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 87/384, 41/938, 247/312

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 87/384, 41/938, 247/312?

Answer: LCM of Numerators as per given numbers 87/384, 41/938, 247/312 is

LCM of Numerators i.e. for 87,41,247 is 881049

GCF of denominators i.e. for 384,938,312 is 2.

Thus, LCM of Fractions is 881049/2.Finally, LCM of Fractions for 87/384, 41/938, 247/312 is 881049/2.