Least Common Multiple of 74/53, 81/99, 413/325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 74/53, 81/99, 413/325 quickly i.e. 2475522 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/53, 81/99, 413/325 is 2475522.

LCM(74/53, 81/99, 413/325) = 2475522

LCM of 74/53, 81/99, 413/325

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 74/53,81/99,413/325

Given numbers are 74/53,81/99,413/325

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 74,81,413

Least Common Multiple of Numerators i.e. LCM of 74,81,413 is 2475522.

GCF of Denominators means GCF of 53,99,325 as per the given fractions.

GCF of 53,99,325 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,81,413

LCM of Fractions 74/53,81/99,413/325 is 2475522

Given numbers has no common factors except 1. So, there LCM is their product i.e 2475522

Least Common Multiple of 74,81,413 with GCF Formula

Least Common Multiple of 74,81,413 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 74,81,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,81,413) = 1

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

GCF(74,81,413) x common factors =1 x 1 = 1

LCM(74,81,413) = ( 74 × 81 × 413 ) / 1

LCM(74,81,413) = 2475522 / 1

LCM(74,81,413) = 2475522


Lets's calculate GCF of 53,99,325

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2475522/1

Therefore the LCM of Fractions 74/53,81/99,413/325 is 2475522

Greatest Common Factor of 53,99,325 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,99,325 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

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 53,99,325 . The biggest common factor number is the GCF number.
So the greatest common factor 53,99,325 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 74/53, 81/99, 413/325

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 74/53, 81/99, 413/325?

Answer: LCM of Numerators as per given numbers 74/53, 81/99, 413/325 is

LCM of Numerators i.e. for 74,81,413 is 2475522

GCF of denominators i.e. for 53,99,325 is 1.

Thus, LCM of Fractions is 2475522.Finally, LCM of Fractions for 74/53, 81/99, 413/325 is 2475522.