Least Common Multiple of 486/130, 906/872, 742/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 486/130, 906/872, 742/648 quickly i.e. 13613103 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 486/130, 906/872, 742/648 is 13613103.

LCM(486/130, 906/872, 742/648) = 13613103

LCM of 486/130, 906/872, 742/648

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 486/130,906/872,742/648

Given numbers are 486/130,906/872,742/648

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 486,906,742

Least Common Multiple of Numerators i.e. LCM of 486,906,742 is 27226206.

GCF of Denominators means GCF of 130,872,648 as per the given fractions.

GCF of 130,872,648 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 486,906,742

LCM of Fractions 486/130,906/872,742/648 is 13613103

2 486, 906, 742
3 243, 453, 371
81, 151, 371

∴ So the LCM of the given numbers is 2 x 3 x 81 x 151 x 371 = 27226206

Least Common Multiple of 486,906,742 with GCF Formula

Least Common Multiple of 486,906,742 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 486,906,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,906,742) = 2

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

GCF(486,906,742) x common factors =2 x 6 = 12

LCM(486,906,742) = ( 486 × 906 × 742 ) / 12

LCM(486,906,742) = 326714472 / 12

LCM(486,906,742) = 27226206


Lets's calculate GCF of 130,872,648

2 130, 872, 648
65, 436, 324

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27226206/2

Therefore the LCM of Fractions 486/130,906/872,742/648 is 13613103

Greatest Common Factor of 130,872,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,872,648 By Matching Biggest Common Factor Method

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 130,872,648 . The biggest common factor number is the GCF number.
So the greatest common factor 130,872,648 is 2.


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 486/130, 906/872, 742/648

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 486/130, 906/872, 742/648?

Answer: LCM of Numerators as per given numbers 486/130, 906/872, 742/648 is

LCM of Numerators i.e. for 486,906,742 is 27226206

GCF of denominators i.e. for 130,872,648 is 2.

Thus, LCM of Fractions is 13613103.Finally, LCM of Fractions for 486/130, 906/872, 742/648 is 13613103.