Least Common Multiple of 72/52, 17/591, 550/611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 72/52, 17/591, 550/611 quickly i.e. 336600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/52, 17/591, 550/611 is 336600.

LCM(72/52, 17/591, 550/611) = 336600

LCM of 72/52, 17/591, 550/611

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 72/52,17/591,550/611

Given numbers are 72/52,17/591,550/611

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 72,17,550

Least Common Multiple of Numerators i.e. LCM of 72,17,550 is 336600.

GCF of Denominators means GCF of 52,591,611 as per the given fractions.

GCF of 52,591,611 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,17,550

LCM of Fractions 72/52,17/591,550/611 is 336600

2 72, 17, 550
36, 17, 275

∴ So the LCM of the given numbers is 2 x 36 x 17 x 275 = 336600

Least Common Multiple of 72,17,550 with GCF Formula

Least Common Multiple of 72,17,550 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 72,17,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,17,550) = 1

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

GCF(72,17,550) x common factors =1 x 2 = 2

LCM(72,17,550) = ( 72 × 17 × 550 ) / 2

LCM(72,17,550) = 673200 / 2

LCM(72,17,550) = 336600


Lets's calculate GCF of 52,591,611

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 336600/1

Therefore the LCM of Fractions 72/52,17/591,550/611 is 336600

Greatest Common Factor of 52,591,611 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,591,611 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Greatest Common Factor

We found the factors 52,591,611 . The biggest common factor number is the GCF number.
So the greatest common factor 52,591,611 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 72/52, 17/591, 550/611

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 72/52, 17/591, 550/611?

Answer: LCM of Numerators as per given numbers 72/52, 17/591, 550/611 is

LCM of Numerators i.e. for 72,17,550 is 336600

GCF of denominators i.e. for 52,591,611 is 1.

Thus, LCM of Fractions is 336600.Finally, LCM of Fractions for 72/52, 17/591, 550/611 is 336600.