Least Common Multiple of 87/272, 604/931, 489/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/272, 604/931, 489/574 quickly i.e. 8565324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/272, 604/931, 489/574 is 8565324.

LCM(87/272, 604/931, 489/574) = 8565324

LCM of 87/272, 604/931, 489/574

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 87/272,604/931,489/574

Given numbers are 87/272,604/931,489/574

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 87,604,489

Least Common Multiple of Numerators i.e. LCM of 87,604,489 is 8565324.

GCF of Denominators means GCF of 272,931,574 as per the given fractions.

GCF of 272,931,574 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,604,489

LCM of Fractions 87/272,604/931,489/574 is 8565324

3 87, 604, 489
29, 604, 163

∴ So the LCM of the given numbers is 3 x 29 x 604 x 163 = 8565324

Least Common Multiple of 87,604,489 with GCF Formula

Least Common Multiple of 87,604,489 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 87,604,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,604,489) = 1

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

GCF(87,604,489) x common factors =1 x 3 = 3

LCM(87,604,489) = ( 87 × 604 × 489 ) / 3

LCM(87,604,489) = 25695972 / 3

LCM(87,604,489) = 8565324


Lets's calculate GCF of 272,931,574

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8565324/1

Therefore the LCM of Fractions 87/272,604/931,489/574 is 8565324

Greatest Common Factor of 272,931,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,931,574 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 272,931,574 . The biggest common factor number is the GCF number.
So the greatest common factor 272,931,574 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 87/272, 604/931, 489/574

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 87/272, 604/931, 489/574?

Answer: LCM of Numerators as per given numbers 87/272, 604/931, 489/574 is

LCM of Numerators i.e. for 87,604,489 is 8565324

GCF of denominators i.e. for 272,931,574 is 1.

Thus, LCM of Fractions is 8565324.Finally, LCM of Fractions for 87/272, 604/931, 489/574 is 8565324.