Least Common Multiple of 654/990, 456/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 654/990, 456/828 quickly i.e. 49704/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 654/990, 456/828 is 49704/18.

LCM(654/990, 456/828) = 49704/18

LCM of 654/990, 456/828

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 654/990,456/828

Given numbers are 654/990,456/828

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 654,456

Least Common Multiple of Numerators i.e. LCM of 654,456 is 49704.

GCF of Denominators means GCF of 990,828 as per the given fractions.

GCF of 990,828 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 654,456

LCM of Fractions 654/990,456/828 is 49704/18

2 654, 456
3 327, 228
109, 76

∴ So the LCM of the given numbers is 2 x 3 x 109 x 76 = 49704

Least Common Multiple of 654,456 with GCF Formula

Least Common Multiple of 654,456 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 654,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,456) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(654,456) x common factors =6 x 1 = 6

LCM(654,456) = ( 654 × 456 ) / 6

LCM(654,456) = 298224 / 6

LCM(654,456) = 49704


Lets's calculate GCF of 990,828

2 990, 828
3 495, 414
3 165, 138
55, 46

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49704/18

Therefore the LCM of Fractions 654/990,456/828 is 49704/18

Greatest Common Factor of 990,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,828 By Matching Biggest Common Factor Method

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 990,828 . The biggest common factor number is the GCF number.
So the greatest common factor 990,828 is 18.


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 654/990, 456/828

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 654/990, 456/828?

Answer: LCM of Numerators as per given numbers 654/990, 456/828 is

LCM of Numerators i.e. for 654,456 is 49704

GCF of denominators i.e. for 990,828 is 18.

Thus, LCM of Fractions is 49704/18.Finally, LCM of Fractions for 654/990, 456/828 is 49704/18.