Least Common Multiple of 87/18, 329/61, 423/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/18, 329/61, 423/774 quickly i.e. 85869 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/18, 329/61, 423/774 is 85869.

LCM(87/18, 329/61, 423/774) = 85869

LCM of 87/18, 329/61, 423/774

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 87/18,329/61,423/774

Given numbers are 87/18,329/61,423/774

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 87,329,423

Least Common Multiple of Numerators i.e. LCM of 87,329,423 is 85869.

GCF of Denominators means GCF of 18,61,774 as per the given fractions.

GCF of 18,61,774 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,329,423

LCM of Fractions 87/18,329/61,423/774 is 85869

3 87, 329, 423
47 29, 329, 141
29, 7, 3

∴ So the LCM of the given numbers is 3 x 47 x 29 x 7 x 3 = 85869

Least Common Multiple of 87,329,423 with GCF Formula

Least Common Multiple of 87,329,423 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 87,329,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,329,423) = 1

common factors(in case of two or more numbers have common factors) = 141

GCF(87,329,423) x common factors =1 x 141 = 141

LCM(87,329,423) = ( 87 × 329 × 423 ) / 141

LCM(87,329,423) = 12107529 / 141

LCM(87,329,423) = 85869


Lets's calculate GCF of 18,61,774

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85869/1

Therefore the LCM of Fractions 87/18,329/61,423/774 is 85869

Greatest Common Factor of 18,61,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,61,774 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 18,61,774 . The biggest common factor number is the GCF number.
So the greatest common factor 18,61,774 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 87/18, 329/61, 423/774

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 87/18, 329/61, 423/774?

Answer: LCM of Numerators as per given numbers 87/18, 329/61, 423/774 is

LCM of Numerators i.e. for 87,329,423 is 85869

GCF of denominators i.e. for 18,61,774 is 1.

Thus, LCM of Fractions is 85869.Finally, LCM of Fractions for 87/18, 329/61, 423/774 is 85869.