Least Common Multiple of 74/549, 7304/2152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/549, 7304/2152 quickly i.e. 270248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/549, 7304/2152 is 270248.

LCM(74/549, 7304/2152) = 270248

LCM of 74/549, 7304/2152

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 74/549,7304/2152

Given numbers are 74/549,7304/2152

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 74,7304

Least Common Multiple of Numerators i.e. LCM of 74,7304 is 270248.

GCF of Denominators means GCF of 549,2152 as per the given fractions.

GCF of 549,2152 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,7304

LCM of Fractions 74/549,7304/2152 is 270248

2 74, 7304
37, 3652

∴ So the LCM of the given numbers is 2 x 37 x 3652 = 270248

Least Common Multiple of 74,7304 with GCF Formula

Least Common Multiple of 74,7304 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 74,7304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,7304) = 2

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

GCF(74,7304) x common factors =2 x 1 = 2

LCM(74,7304) = ( 74 × 7304 ) / 2

LCM(74,7304) = 540496 / 2

LCM(74,7304) = 270248


Lets's calculate GCF of 549,2152

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270248/1

Therefore the LCM of Fractions 74/549,7304/2152 is 270248

Greatest Common Factor of 549,2152 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,2152 By Matching Biggest Common Factor Method

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 2152

List of positive integer factors of 2152 that divides 2152 without a remainder.

1,2,4,8,269,538,1076,2152

Greatest Common Factor

We found the factors 549,2152 . The biggest common factor number is the GCF number.
So the greatest common factor 549,2152 is 1.


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 74/549, 7304/2152

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 74/549, 7304/2152?

Answer: LCM of Numerators as per given numbers 74/549, 7304/2152 is

LCM of Numerators i.e. for 74,7304 is 270248

GCF of denominators i.e. for 549,2152 is 1.

Thus, LCM of Fractions is 270248.Finally, LCM of Fractions for 74/549, 7304/2152 is 270248.