Least Common Multiple of 676/64, 618/22, 869/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 676/64, 618/22, 869/133 quickly i.e. 181520196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 676/64, 618/22, 869/133 is 181520196.

LCM(676/64, 618/22, 869/133) = 181520196

LCM of 676/64, 618/22, 869/133

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 676/64,618/22,869/133

Given numbers are 676/64,618/22,869/133

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 676,618,869

Least Common Multiple of Numerators i.e. LCM of 676,618,869 is 181520196.

GCF of Denominators means GCF of 64,22,133 as per the given fractions.

GCF of 64,22,133 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 676,618,869

LCM of Fractions 676/64,618/22,869/133 is 181520196

2 676, 618, 869
338, 309, 869

∴ So the LCM of the given numbers is 2 x 338 x 309 x 869 = 181520196

Least Common Multiple of 676,618,869 with GCF Formula

Least Common Multiple of 676,618,869 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 676,618,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,618,869) = 1

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

GCF(676,618,869) x common factors =1 x 2 = 2

LCM(676,618,869) = ( 676 × 618 × 869 ) / 2

LCM(676,618,869) = 363040392 / 2

LCM(676,618,869) = 181520196


Lets's calculate GCF of 64,22,133

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181520196/1

Therefore the LCM of Fractions 676/64,618/22,869/133 is 181520196

Greatest Common Factor of 64,22,133 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,22,133 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Greatest Common Factor

We found the factors 64,22,133 . The biggest common factor number is the GCF number.
So the greatest common factor 64,22,133 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 676/64, 618/22, 869/133

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 676/64, 618/22, 869/133?

Answer: LCM of Numerators as per given numbers 676/64, 618/22, 869/133 is

LCM of Numerators i.e. for 676,618,869 is 181520196

GCF of denominators i.e. for 64,22,133 is 1.

Thus, LCM of Fractions is 181520196.Finally, LCM of Fractions for 676/64, 618/22, 869/133 is 181520196.