Least Common Multiple of 87/30, 46/894, 678/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/30, 46/894, 678/987 quickly i.e. 150742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/30, 46/894, 678/987 is 150742.

LCM(87/30, 46/894, 678/987) = 150742

LCM of 87/30, 46/894, 678/987

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 87/30,46/894,678/987

Given numbers are 87/30,46/894,678/987

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 87,46,678

Least Common Multiple of Numerators i.e. LCM of 87,46,678 is 452226.

GCF of Denominators means GCF of 30,894,987 as per the given fractions.

GCF of 30,894,987 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,46,678

LCM of Fractions 87/30,46/894,678/987 is 150742

2 87, 46, 678
3 87, 23, 339
29, 23, 113

∴ So the LCM of the given numbers is 2 x 3 x 29 x 23 x 113 = 452226

Least Common Multiple of 87,46,678 with GCF Formula

Least Common Multiple of 87,46,678 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 87,46,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,46,678) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(87,46,678) x common factors =1 x 6 = 6

LCM(87,46,678) = ( 87 × 46 × 678 ) / 6

LCM(87,46,678) = 2713356 / 6

LCM(87,46,678) = 452226


Lets's calculate GCF of 30,894,987

3 30, 894, 987
10, 298, 329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 452226/3

Therefore the LCM of Fractions 87/30,46/894,678/987 is 150742

Greatest Common Factor of 30,894,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,894,987 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 30,894,987 . The biggest common factor number is the GCF number.
So the greatest common factor 30,894,987 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 87/30, 46/894, 678/987

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 87/30, 46/894, 678/987?

Answer: LCM of Numerators as per given numbers 87/30, 46/894, 678/987 is

LCM of Numerators i.e. for 87,46,678 is 452226

GCF of denominators i.e. for 30,894,987 is 3.

Thus, LCM of Fractions is 150742.Finally, LCM of Fractions for 87/30, 46/894, 678/987 is 150742.