Least Common Multiple of 648/853, 498/194, 159/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 648/853, 498/194, 159/460 quickly i.e. 2850552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 648/853, 498/194, 159/460 is 2850552.

LCM(648/853, 498/194, 159/460) = 2850552

LCM of 648/853, 498/194, 159/460

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 648/853,498/194,159/460

Given numbers are 648/853,498/194,159/460

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 648,498,159

Least Common Multiple of Numerators i.e. LCM of 648,498,159 is 2850552.

GCF of Denominators means GCF of 853,194,460 as per the given fractions.

GCF of 853,194,460 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 648,498,159

LCM of Fractions 648/853,498/194,159/460 is 2850552

2 648, 498, 159
3 324, 249, 159
108, 83, 53

∴ So the LCM of the given numbers is 2 x 3 x 108 x 83 x 53 = 2850552

Least Common Multiple of 648,498,159 with GCF Formula

Least Common Multiple of 648,498,159 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 648,498,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,498,159) = 3

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

GCF(648,498,159) x common factors =3 x 6 = 18

LCM(648,498,159) = ( 648 × 498 × 159 ) / 18

LCM(648,498,159) = 51309936 / 18

LCM(648,498,159) = 2850552


Lets's calculate GCF of 853,194,460

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2850552/1

Therefore the LCM of Fractions 648/853,498/194,159/460 is 2850552

Greatest Common Factor of 853,194,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 853,194,460 By Matching Biggest Common Factor Method

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 853,194,460 . The biggest common factor number is the GCF number.
So the greatest common factor 853,194,460 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 648/853, 498/194, 159/460

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 648/853, 498/194, 159/460?

Answer: LCM of Numerators as per given numbers 648/853, 498/194, 159/460 is

LCM of Numerators i.e. for 648,498,159 is 2850552

GCF of denominators i.e. for 853,194,460 is 1.

Thus, LCM of Fractions is 2850552.Finally, LCM of Fractions for 648/853, 498/194, 159/460 is 2850552.