Least Common Multiple of 7499/264, 7624/8479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7499/264, 7624/8479 quickly i.e. 57172376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7499/264, 7624/8479 is 57172376.

LCM(7499/264, 7624/8479) = 57172376

LCM of 7499/264, 7624/8479

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 7499/264,7624/8479

Given numbers are 7499/264,7624/8479

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 7499,7624

Least Common Multiple of Numerators i.e. LCM of 7499,7624 is 57172376.

GCF of Denominators means GCF of 264,8479 as per the given fractions.

GCF of 264,8479 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7499,7624

LCM of Fractions 7499/264,7624/8479 is 57172376

Given numbers has no common factors except 1. So, there LCM is their product i.e 57172376

Least Common Multiple of 7499,7624 with GCF Formula

Least Common Multiple of 7499,7624 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 7499,7624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7499,7624) = 1

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

GCF(7499,7624) x common factors =1 x 1 = 1

LCM(7499,7624) = ( 7499 × 7624 ) / 1

LCM(7499,7624) = 57172376 / 1

LCM(7499,7624) = 57172376


Lets's calculate GCF of 264,8479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57172376/1

Therefore the LCM of Fractions 7499/264,7624/8479 is 57172376

Greatest Common Factor of 264,8479 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,8479 By Matching Biggest Common Factor Method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 8479

List of positive integer factors of 8479 that divides 8479 without a remainder.

1,61,139,8479

Greatest Common Factor

We found the factors 264,8479 . The biggest common factor number is the GCF number.
So the greatest common factor 264,8479 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 7499/264, 7624/8479

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 7499/264, 7624/8479?

Answer: LCM of Numerators as per given numbers 7499/264, 7624/8479 is

LCM of Numerators i.e. for 7499,7624 is 57172376

GCF of denominators i.e. for 264,8479 is 1.

Thus, LCM of Fractions is 57172376.Finally, LCM of Fractions for 7499/264, 7624/8479 is 57172376.