Least Common Multiple of 3246/36, 9408/325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3246/36, 9408/325 quickly i.e. 5089728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3246/36, 9408/325 is 5089728.

LCM(3246/36, 9408/325) = 5089728

LCM of 3246/36, 9408/325

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 3246/36,9408/325

Given numbers are 3246/36,9408/325

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 3246,9408

Least Common Multiple of Numerators i.e. LCM of 3246,9408 is 5089728.

GCF of Denominators means GCF of 36,325 as per the given fractions.

GCF of 36,325 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3246,9408

LCM of Fractions 3246/36,9408/325 is 5089728

2 3246, 9408
3 1623, 4704
541, 1568

∴ So the LCM of the given numbers is 2 x 3 x 541 x 1568 = 5089728

Least Common Multiple of 3246,9408 with GCF Formula

Least Common Multiple of 3246,9408 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 3246,9408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3246,9408) = 6

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

GCF(3246,9408) x common factors =6 x 1 = 6

LCM(3246,9408) = ( 3246 × 9408 ) / 6

LCM(3246,9408) = 30538368 / 6

LCM(3246,9408) = 5089728


Lets's calculate GCF of 36,325

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5089728/1

Therefore the LCM of Fractions 3246/36,9408/325 is 5089728

Greatest Common Factor of 36,325 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,325 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Greatest Common Factor

We found the factors 36,325 . The biggest common factor number is the GCF number.
So the greatest common factor 36,325 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3246/36, 9408/325

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 3246/36, 9408/325?

Answer: LCM of Numerators as per given numbers 3246/36, 9408/325 is

LCM of Numerators i.e. for 3246,9408 is 5089728

GCF of denominators i.e. for 36,325 is 1.

Thus, LCM of Fractions is 5089728.Finally, LCM of Fractions for 3246/36, 9408/325 is 5089728.