Least Common Multiple of 648/140, 779/894, 342/661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 648/140, 779/894, 342/661 quickly i.e. 504792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 648/140, 779/894, 342/661 is 504792.

LCM(648/140, 779/894, 342/661) = 504792

LCM of 648/140, 779/894, 342/661

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 648/140,779/894,342/661

Given numbers are 648/140,779/894,342/661

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 648,779,342

Least Common Multiple of Numerators i.e. LCM of 648,779,342 is 504792.

GCF of Denominators means GCF of 140,894,661 as per the given fractions.

GCF of 140,894,661 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 648,779,342

LCM of Fractions 648/140,779/894,342/661 is 504792

2 648, 779, 342
3 324, 779, 171
3 108, 779, 57
19 36, 779, 19
36, 41, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 19 x 36 x 41 x 1 = 504792

Least Common Multiple of 648,779,342 with GCF Formula

Least Common Multiple of 648,779,342 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 648,779,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,779,342) = 1

common factors(in case of two or more numbers have common factors) = 342

GCF(648,779,342) x common factors =1 x 342 = 342

LCM(648,779,342) = ( 648 × 779 × 342 ) / 342

LCM(648,779,342) = 172638864 / 342

LCM(648,779,342) = 504792


Lets's calculate GCF of 140,894,661

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 504792/1

Therefore the LCM of Fractions 648/140,779/894,342/661 is 504792

Greatest Common Factor of 140,894,661 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,894,661 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

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 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Greatest Common Factor

We found the factors 140,894,661 . The biggest common factor number is the GCF number.
So the greatest common factor 140,894,661 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 648/140, 779/894, 342/661

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 648/140, 779/894, 342/661?

Answer: LCM of Numerators as per given numbers 648/140, 779/894, 342/661 is

LCM of Numerators i.e. for 648,779,342 is 504792

GCF of denominators i.e. for 140,894,661 is 1.

Thus, LCM of Fractions is 504792.Finally, LCM of Fractions for 648/140, 779/894, 342/661 is 504792.