Least Common Multiple of 66/634, 30/279, 812/884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/634, 30/279, 812/884 quickly i.e. 133980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/634, 30/279, 812/884 is 133980.

LCM(66/634, 30/279, 812/884) = 133980

LCM of 66/634, 30/279, 812/884

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 66/634,30/279,812/884

Given numbers are 66/634,30/279,812/884

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 66,30,812

Least Common Multiple of Numerators i.e. LCM of 66,30,812 is 133980.

GCF of Denominators means GCF of 634,279,884 as per the given fractions.

GCF of 634,279,884 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,30,812

LCM of Fractions 66/634,30/279,812/884 is 133980

2 66, 30, 812
3 33, 15, 406
11, 5, 406

∴ So the LCM of the given numbers is 2 x 3 x 11 x 5 x 406 = 133980

Least Common Multiple of 66,30,812 with GCF Formula

Least Common Multiple of 66,30,812 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 66,30,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,30,812) = 2

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

GCF(66,30,812) x common factors =2 x 6 = 12

LCM(66,30,812) = ( 66 × 30 × 812 ) / 12

LCM(66,30,812) = 1607760 / 12

LCM(66,30,812) = 133980


Lets's calculate GCF of 634,279,884

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133980/1

Therefore the LCM of Fractions 66/634,30/279,812/884 is 133980

Greatest Common Factor of 634,279,884 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,279,884 By Matching Biggest Common Factor Method

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Greatest Common Factor

We found the factors 634,279,884 . The biggest common factor number is the GCF number.
So the greatest common factor 634,279,884 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 66/634, 30/279, 812/884

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 66/634, 30/279, 812/884?

Answer: LCM of Numerators as per given numbers 66/634, 30/279, 812/884 is

LCM of Numerators i.e. for 66,30,812 is 133980

GCF of denominators i.e. for 634,279,884 is 1.

Thus, LCM of Fractions is 133980.Finally, LCM of Fractions for 66/634, 30/279, 812/884 is 133980.