Least Common Multiple of 87/438, 51/219, 773/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/438, 51/219, 773/315 quickly i.e. 381089 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/438, 51/219, 773/315 is 381089.

LCM(87/438, 51/219, 773/315) = 381089

LCM of 87/438, 51/219, 773/315

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 87/438,51/219,773/315

Given numbers are 87/438,51/219,773/315

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 87,51,773

Least Common Multiple of Numerators i.e. LCM of 87,51,773 is 1143267.

GCF of Denominators means GCF of 438,219,315 as per the given fractions.

GCF of 438,219,315 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,51,773

LCM of Fractions 87/438,51/219,773/315 is 381089

3 87, 51, 773
29, 17, 773

∴ So the LCM of the given numbers is 3 x 29 x 17 x 773 = 1143267

Least Common Multiple of 87,51,773 with GCF Formula

Least Common Multiple of 87,51,773 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 87,51,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,51,773) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,51,773) x common factors =1 x 3 = 3

LCM(87,51,773) = ( 87 × 51 × 773 ) / 3

LCM(87,51,773) = 3429801 / 3

LCM(87,51,773) = 1143267


Lets's calculate GCF of 438,219,315

3 438, 219, 315
146, 73, 105

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1143267/3

Therefore the LCM of Fractions 87/438,51/219,773/315 is 381089

Greatest Common Factor of 438,219,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,219,315 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

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 438,219,315 . The biggest common factor number is the GCF number.
So the greatest common factor 438,219,315 is 3.


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 87/438, 51/219, 773/315

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 87/438, 51/219, 773/315?

Answer: LCM of Numerators as per given numbers 87/438, 51/219, 773/315 is

LCM of Numerators i.e. for 87,51,773 is 1143267

GCF of denominators i.e. for 438,219,315 is 3.

Thus, LCM of Fractions is 381089.Finally, LCM of Fractions for 87/438, 51/219, 773/315 is 381089.