Least Common Multiple of 87/42, 680/45, 927/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/42, 680/45, 927/432 quickly i.e. 6093480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/42, 680/45, 927/432 is 6093480.

LCM(87/42, 680/45, 927/432) = 6093480

LCM of 87/42, 680/45, 927/432

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 87/42,680/45,927/432

Given numbers are 87/42,680/45,927/432

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 87,680,927

Least Common Multiple of Numerators i.e. LCM of 87,680,927 is 18280440.

GCF of Denominators means GCF of 42,45,432 as per the given fractions.

GCF of 42,45,432 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,680,927

LCM of Fractions 87/42,680/45,927/432 is 6093480

3 87, 680, 927
29, 680, 309

∴ So the LCM of the given numbers is 3 x 29 x 680 x 309 = 18280440

Least Common Multiple of 87,680,927 with GCF Formula

Least Common Multiple of 87,680,927 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 87,680,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,680,927) = 1

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

GCF(87,680,927) x common factors =1 x 3 = 3

LCM(87,680,927) = ( 87 × 680 × 927 ) / 3

LCM(87,680,927) = 54841320 / 3

LCM(87,680,927) = 18280440


Lets's calculate GCF of 42,45,432

3 42, 45, 432
14, 15, 144

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18280440/3

Therefore the LCM of Fractions 87/42,680/45,927/432 is 6093480

Greatest Common Factor of 42,45,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,45,432 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 42,45,432 . The biggest common factor number is the GCF number.
So the greatest common factor 42,45,432 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 87/42, 680/45, 927/432

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 87/42, 680/45, 927/432?

Answer: LCM of Numerators as per given numbers 87/42, 680/45, 927/432 is

LCM of Numerators i.e. for 87,680,927 is 18280440

GCF of denominators i.e. for 42,45,432 is 3.

Thus, LCM of Fractions is 6093480.Finally, LCM of Fractions for 87/42, 680/45, 927/432 is 6093480.