Least Common Multiple of 305/924, 6648/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 305/924, 6648/332 quickly i.e. 506910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 305/924, 6648/332 is 506910.

LCM(305/924, 6648/332) = 506910

LCM of 305/924, 6648/332

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 305/924,6648/332

Given numbers are 305/924,6648/332

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 305,6648

Least Common Multiple of Numerators i.e. LCM of 305,6648 is 2027640.

GCF of Denominators means GCF of 924,332 as per the given fractions.

GCF of 924,332 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 305,6648

LCM of Fractions 305/924,6648/332 is 506910

Given numbers has no common factors except 1. So, there LCM is their product i.e 2027640

Least Common Multiple of 305,6648 with GCF Formula

Least Common Multiple of 305,6648 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 305,6648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,6648) = 1

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

GCF(305,6648) x common factors =1 x 1 = 1

LCM(305,6648) = ( 305 × 6648 ) / 1

LCM(305,6648) = 2027640 / 1

LCM(305,6648) = 2027640


Lets's calculate GCF of 924,332

2 924, 332
2 462, 166
231, 83

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2027640/4

Therefore the LCM of Fractions 305/924,6648/332 is 506910

Greatest Common Factor of 924,332 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,332 By Matching Biggest Common Factor Method

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Greatest Common Factor

We found the factors 924,332 . The biggest common factor number is the GCF number.
So the greatest common factor 924,332 is 4.


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 305/924, 6648/332

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 305/924, 6648/332?

Answer: LCM of Numerators as per given numbers 305/924, 6648/332 is

LCM of Numerators i.e. for 305,6648 is 2027640

GCF of denominators i.e. for 924,332 is 4.

Thus, LCM of Fractions is 506910.Finally, LCM of Fractions for 305/924, 6648/332 is 506910.