Least Common Multiple of 646/21, 924/8955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 646/21, 924/8955 quickly i.e. 99484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 646/21, 924/8955 is 99484.

LCM(646/21, 924/8955) = 99484

LCM of 646/21, 924/8955

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 646/21,924/8955

Given numbers are 646/21,924/8955

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 646,924

Least Common Multiple of Numerators i.e. LCM of 646,924 is 298452.

GCF of Denominators means GCF of 21,8955 as per the given fractions.

GCF of 21,8955 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 646,924

LCM of Fractions 646/21,924/8955 is 99484

2 646, 924
323, 462

∴ So the LCM of the given numbers is 2 x 323 x 462 = 298452

Least Common Multiple of 646,924 with GCF Formula

Least Common Multiple of 646,924 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 646,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(646,924) = 2

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

GCF(646,924) x common factors =2 x 1 = 2

LCM(646,924) = ( 646 × 924 ) / 2

LCM(646,924) = 596904 / 2

LCM(646,924) = 298452


Lets's calculate GCF of 21,8955

3 21, 8955
7, 2985

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 298452/3

Therefore the LCM of Fractions 646/21,924/8955 is 99484

Greatest Common Factor of 21,8955 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,8955 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 8955

List of positive integer factors of 8955 that divides 8955 without a remainder.

1,3,5,9,15,45,199,597,995,1791,2985,8955

Greatest Common Factor

We found the factors 21,8955 . The biggest common factor number is the GCF number.
So the greatest common factor 21,8955 is 3.


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 646/21, 924/8955

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 646/21, 924/8955?

Answer: LCM of Numerators as per given numbers 646/21, 924/8955 is

LCM of Numerators i.e. for 646,924 is 298452

GCF of denominators i.e. for 21,8955 is 3.

Thus, LCM of Fractions is 99484.Finally, LCM of Fractions for 646/21, 924/8955 is 99484.