Least Common Multiple of 737/72, 711/5217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 737/72, 711/5217 quickly i.e. 174669 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 737/72, 711/5217 is 174669.

LCM(737/72, 711/5217) = 174669

LCM of 737/72, 711/5217

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 737/72,711/5217

Given numbers are 737/72,711/5217

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 737,711

Least Common Multiple of Numerators i.e. LCM of 737,711 is 524007.

GCF of Denominators means GCF of 72,5217 as per the given fractions.

GCF of 72,5217 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 737,711

LCM of Fractions 737/72,711/5217 is 174669

Given numbers has no common factors except 1. So, there LCM is their product i.e 524007

Least Common Multiple of 737,711 with GCF Formula

Least Common Multiple of 737,711 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 737,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(737,711) = 1

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

GCF(737,711) x common factors =1 x 1 = 1

LCM(737,711) = ( 737 × 711 ) / 1

LCM(737,711) = 524007 / 1

LCM(737,711) = 524007


Lets's calculate GCF of 72,5217

3 72, 5217
24, 1739

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 524007/3

Therefore the LCM of Fractions 737/72,711/5217 is 174669

Greatest Common Factor of 72,5217 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,5217 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 5217

List of positive integer factors of 5217 that divides 5217 without a remainder.

1,3,37,47,111,141,1739,5217

Greatest Common Factor

We found the factors 72,5217 . The biggest common factor number is the GCF number.
So the greatest common factor 72,5217 is 3.


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 737/72, 711/5217

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 737/72, 711/5217?

Answer: LCM of Numerators as per given numbers 737/72, 711/5217 is

LCM of Numerators i.e. for 737,711 is 524007

GCF of denominators i.e. for 72,5217 is 3.

Thus, LCM of Fractions is 174669.Finally, LCM of Fractions for 737/72, 711/5217 is 174669.