Least Common Multiple of 323/924, 4882/6544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 323/924, 4882/6544 quickly i.e. 1576886/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 323/924, 4882/6544 is 1576886/4.

LCM(323/924, 4882/6544) = 1576886/4

LCM of 323/924, 4882/6544

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 323/924,4882/6544

Given numbers are 323/924,4882/6544

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 323,4882

Least Common Multiple of Numerators i.e. LCM of 323,4882 is 1576886.

GCF of Denominators means GCF of 924,6544 as per the given fractions.

GCF of 924,6544 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 323,4882

LCM of Fractions 323/924,4882/6544 is 1576886/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 1576886

Least Common Multiple of 323,4882 with GCF Formula

Least Common Multiple of 323,4882 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 323,4882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(323,4882) = 1

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

GCF(323,4882) x common factors =1 x 1 = 1

LCM(323,4882) = ( 323 × 4882 ) / 1

LCM(323,4882) = 1576886 / 1

LCM(323,4882) = 1576886


Lets's calculate GCF of 924,6544

2 924, 6544
2 462, 3272
231, 1636

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1576886/4

Therefore the LCM of Fractions 323/924,4882/6544 is 1576886/4

Greatest Common Factor of 924,6544 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,6544 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 6544

List of positive integer factors of 6544 that divides 6544 without a remainder.

1,2,4,8,16,409,818,1636,3272,6544

Greatest Common Factor

We found the factors 924,6544 . The biggest common factor number is the GCF number.
So the greatest common factor 924,6544 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 323/924, 4882/6544

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 323/924, 4882/6544?

Answer: LCM of Numerators as per given numbers 323/924, 4882/6544 is

LCM of Numerators i.e. for 323,4882 is 1576886

GCF of denominators i.e. for 924,6544 is 4.

Thus, LCM of Fractions is 1576886/4.Finally, LCM of Fractions for 323/924, 4882/6544 is 1576886/4.