Least Common Multiple of 87/390, 736/257, 662/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/390, 736/257, 662/972 quickly i.e. 21194592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/390, 736/257, 662/972 is 21194592.

LCM(87/390, 736/257, 662/972) = 21194592

LCM of 87/390, 736/257, 662/972

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 87/390,736/257,662/972

Given numbers are 87/390,736/257,662/972

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 87,736,662

Least Common Multiple of Numerators i.e. LCM of 87,736,662 is 21194592.

GCF of Denominators means GCF of 390,257,972 as per the given fractions.

GCF of 390,257,972 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,736,662

LCM of Fractions 87/390,736/257,662/972 is 21194592

2 87, 736, 662
87, 368, 331

∴ So the LCM of the given numbers is 2 x 87 x 368 x 331 = 21194592

Least Common Multiple of 87,736,662 with GCF Formula

Least Common Multiple of 87,736,662 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 87,736,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,736,662) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(87,736,662) x common factors =1 x 2 = 2

LCM(87,736,662) = ( 87 × 736 × 662 ) / 2

LCM(87,736,662) = 42389184 / 2

LCM(87,736,662) = 21194592


Lets's calculate GCF of 390,257,972

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21194592/1

Therefore the LCM of Fractions 87/390,736/257,662/972 is 21194592

Greatest Common Factor of 390,257,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,257,972 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 390,257,972 . The biggest common factor number is the GCF number.
So the greatest common factor 390,257,972 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 87/390, 736/257, 662/972

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 87/390, 736/257, 662/972?

Answer: LCM of Numerators as per given numbers 87/390, 736/257, 662/972 is

LCM of Numerators i.e. for 87,736,662 is 21194592

GCF of denominators i.e. for 390,257,972 is 1.

Thus, LCM of Fractions is 21194592.Finally, LCM of Fractions for 87/390, 736/257, 662/972 is 21194592.