Least Common Multiple of 87/436, 72/678, 580/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/436, 72/678, 580/322 quickly i.e. 5220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/436, 72/678, 580/322 is 5220.

LCM(87/436, 72/678, 580/322) = 5220

LCM of 87/436, 72/678, 580/322

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 87/436,72/678,580/322

Given numbers are 87/436,72/678,580/322

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 87,72,580

Least Common Multiple of Numerators i.e. LCM of 87,72,580 is 10440.

GCF of Denominators means GCF of 436,678,322 as per the given fractions.

GCF of 436,678,322 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,72,580

LCM of Fractions 87/436,72/678,580/322 is 5220

2 87, 72, 580
2 87, 36, 290
3 87, 18, 145
29 29, 6, 145
1, 6, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 1 x 6 x 5 = 10440

Least Common Multiple of 87,72,580 with GCF Formula

Least Common Multiple of 87,72,580 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 87,72,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,72,580) = 1

common factors(in case of two or more numbers have common factors) = 348

GCF(87,72,580) x common factors =1 x 348 = 348

LCM(87,72,580) = ( 87 × 72 × 580 ) / 348

LCM(87,72,580) = 3633120 / 348

LCM(87,72,580) = 10440


Lets's calculate GCF of 436,678,322

2 436, 678, 322
218, 339, 161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10440/2

Therefore the LCM of Fractions 87/436,72/678,580/322 is 5220

Greatest Common Factor of 436,678,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 436,678,322 By Matching Biggest Common Factor Method

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 436,678,322 . The biggest common factor number is the GCF number.
So the greatest common factor 436,678,322 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 87/436, 72/678, 580/322

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 87/436, 72/678, 580/322?

Answer: LCM of Numerators as per given numbers 87/436, 72/678, 580/322 is

LCM of Numerators i.e. for 87,72,580 is 10440

GCF of denominators i.e. for 436,678,322 is 2.

Thus, LCM of Fractions is 5220.Finally, LCM of Fractions for 87/436, 72/678, 580/322 is 5220.