Least Common Multiple of 7488/615, 9204/955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7488/615, 9204/955 quickly i.e. 441792/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7488/615, 9204/955 is 441792/5.

LCM(7488/615, 9204/955) = 441792/5

LCM of 7488/615, 9204/955

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 7488/615,9204/955

Given numbers are 7488/615,9204/955

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 7488,9204

Least Common Multiple of Numerators i.e. LCM of 7488,9204 is 441792.

GCF of Denominators means GCF of 615,955 as per the given fractions.

GCF of 615,955 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7488,9204

LCM of Fractions 7488/615,9204/955 is 441792/5

2 7488, 9204
2 3744, 4602
3 1872, 2301
13 624, 767
48, 59

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 48 x 59 = 441792

Least Common Multiple of 7488,9204 with GCF Formula

Least Common Multiple of 7488,9204 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 7488,9204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7488,9204) = 156

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

GCF(7488,9204) x common factors =156 x 1 = 156

LCM(7488,9204) = ( 7488 × 9204 ) / 156

LCM(7488,9204) = 68919552 / 156

LCM(7488,9204) = 441792


Lets's calculate GCF of 615,955

5 615, 955
123, 191

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 441792/5

Therefore the LCM of Fractions 7488/615,9204/955 is 441792/5

Greatest Common Factor of 615,955 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,955 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 955

List of positive integer factors of 955 that divides 955 without a remainder.

1,5,191,955

Greatest Common Factor

We found the factors 615,955 . The biggest common factor number is the GCF number.
So the greatest common factor 615,955 is 5.


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 7488/615, 9204/955

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 7488/615, 9204/955?

Answer: LCM of Numerators as per given numbers 7488/615, 9204/955 is

LCM of Numerators i.e. for 7488,9204 is 441792

GCF of denominators i.e. for 615,955 is 5.

Thus, LCM of Fractions is 441792/5.Finally, LCM of Fractions for 7488/615, 9204/955 is 441792/5.