Least Common Multiple of 537/664, 302/217, 232/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 537/664, 302/217, 232/245 quickly i.e. 18812184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 537/664, 302/217, 232/245 is 18812184.

LCM(537/664, 302/217, 232/245) = 18812184

LCM of 537/664, 302/217, 232/245

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 537/664,302/217,232/245

Given numbers are 537/664,302/217,232/245

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 537,302,232

Least Common Multiple of Numerators i.e. LCM of 537,302,232 is 18812184.

GCF of Denominators means GCF of 664,217,245 as per the given fractions.

GCF of 664,217,245 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 537,302,232

LCM of Fractions 537/664,302/217,232/245 is 18812184

2 537, 302, 232
537, 151, 116

∴ So the LCM of the given numbers is 2 x 537 x 151 x 116 = 18812184

Least Common Multiple of 537,302,232 with GCF Formula

Least Common Multiple of 537,302,232 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 537,302,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(537,302,232) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(537,302,232) x common factors =1 x 2 = 2

LCM(537,302,232) = ( 537 × 302 × 232 ) / 2

LCM(537,302,232) = 37624368 / 2

LCM(537,302,232) = 18812184


Lets's calculate GCF of 664,217,245

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18812184/1

Therefore the LCM of Fractions 537/664,302/217,232/245 is 18812184

Greatest Common Factor of 664,217,245 By Matching Biggest Common Factor Method

Greatest Common Factor of 664,217,245 By Matching Biggest Common Factor Method

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Greatest Common Factor

We found the factors 664,217,245 . The biggest common factor number is the GCF number.
So the greatest common factor 664,217,245 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 537/664, 302/217, 232/245

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 537/664, 302/217, 232/245?

Answer: LCM of Numerators as per given numbers 537/664, 302/217, 232/245 is

LCM of Numerators i.e. for 537,302,232 is 18812184

GCF of denominators i.e. for 664,217,245 is 1.

Thus, LCM of Fractions is 18812184.Finally, LCM of Fractions for 537/664, 302/217, 232/245 is 18812184.