Least Common Multiple of 87/144, 524/425, 663/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/144, 524/425, 663/386 quickly i.e. 10074948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/144, 524/425, 663/386 is 10074948.

LCM(87/144, 524/425, 663/386) = 10074948

LCM of 87/144, 524/425, 663/386

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 87/144,524/425,663/386

Given numbers are 87/144,524/425,663/386

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 87,524,663

Least Common Multiple of Numerators i.e. LCM of 87,524,663 is 10074948.

GCF of Denominators means GCF of 144,425,386 as per the given fractions.

GCF of 144,425,386 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,524,663

LCM of Fractions 87/144,524/425,663/386 is 10074948

3 87, 524, 663
29, 524, 221

∴ So the LCM of the given numbers is 3 x 29 x 524 x 221 = 10074948

Least Common Multiple of 87,524,663 with GCF Formula

Least Common Multiple of 87,524,663 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 87,524,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,524,663) = 1

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

GCF(87,524,663) x common factors =1 x 3 = 3

LCM(87,524,663) = ( 87 × 524 × 663 ) / 3

LCM(87,524,663) = 30224844 / 3

LCM(87,524,663) = 10074948


Lets's calculate GCF of 144,425,386

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10074948/1

Therefore the LCM of Fractions 87/144,524/425,663/386 is 10074948

Greatest Common Factor of 144,425,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,425,386 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Greatest Common Factor

We found the factors 144,425,386 . The biggest common factor number is the GCF number.
So the greatest common factor 144,425,386 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 87/144, 524/425, 663/386

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 87/144, 524/425, 663/386?

Answer: LCM of Numerators as per given numbers 87/144, 524/425, 663/386 is

LCM of Numerators i.e. for 87,524,663 is 10074948

GCF of denominators i.e. for 144,425,386 is 1.

Thus, LCM of Fractions is 10074948.Finally, LCM of Fractions for 87/144, 524/425, 663/386 is 10074948.