Least Common Multiple of 87/504, 43/171, 492/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/504, 43/171, 492/441 quickly i.e. 613524/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/504, 43/171, 492/441 is 613524/9.

LCM(87/504, 43/171, 492/441) = 613524/9

LCM of 87/504, 43/171, 492/441

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 87/504,43/171,492/441

Given numbers are 87/504,43/171,492/441

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 87,43,492

Least Common Multiple of Numerators i.e. LCM of 87,43,492 is 613524.

GCF of Denominators means GCF of 504,171,441 as per the given fractions.

GCF of 504,171,441 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,43,492

LCM of Fractions 87/504,43/171,492/441 is 613524/9

3 87, 43, 492
29, 43, 164

∴ So the LCM of the given numbers is 3 x 29 x 43 x 164 = 613524

Least Common Multiple of 87,43,492 with GCF Formula

Least Common Multiple of 87,43,492 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 87,43,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,43,492) = 1

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

GCF(87,43,492) x common factors =1 x 3 = 3

LCM(87,43,492) = ( 87 × 43 × 492 ) / 3

LCM(87,43,492) = 1840572 / 3

LCM(87,43,492) = 613524


Lets's calculate GCF of 504,171,441

3 504, 171, 441
3 168, 57, 147
56, 19, 49

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 613524/9

Therefore the LCM of Fractions 87/504,43/171,492/441 is 613524/9

Greatest Common Factor of 504,171,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,171,441 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Greatest Common Factor

We found the factors 504,171,441 . The biggest common factor number is the GCF number.
So the greatest common factor 504,171,441 is 9.


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 87/504, 43/171, 492/441

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 87/504, 43/171, 492/441?

Answer: LCM of Numerators as per given numbers 87/504, 43/171, 492/441 is

LCM of Numerators i.e. for 87,43,492 is 613524

GCF of denominators i.e. for 504,171,441 is 9.

Thus, LCM of Fractions is 613524/9.Finally, LCM of Fractions for 87/504, 43/171, 492/441 is 613524/9.