Least Common Multiple of 72/550, 62/605, 501/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/550, 62/605, 501/682 quickly i.e. 372744/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/550, 62/605, 501/682 is 372744/11.

LCM(72/550, 62/605, 501/682) = 372744/11

LCM of 72/550, 62/605, 501/682

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 72/550,62/605,501/682

Given numbers are 72/550,62/605,501/682

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 72,62,501

Least Common Multiple of Numerators i.e. LCM of 72,62,501 is 372744.

GCF of Denominators means GCF of 550,605,682 as per the given fractions.

GCF of 550,605,682 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,62,501

LCM of Fractions 72/550,62/605,501/682 is 372744/11

2 72, 62, 501
3 36, 31, 501
12, 31, 167

∴ So the LCM of the given numbers is 2 x 3 x 12 x 31 x 167 = 372744

Least Common Multiple of 72,62,501 with GCF Formula

Least Common Multiple of 72,62,501 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 72,62,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,62,501) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(72,62,501) x common factors =1 x 6 = 6

LCM(72,62,501) = ( 72 × 62 × 501 ) / 6

LCM(72,62,501) = 2236464 / 6

LCM(72,62,501) = 372744


Lets's calculate GCF of 550,605,682

11 550, 605, 682
50, 55, 62

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 372744/11

Therefore the LCM of Fractions 72/550,62/605,501/682 is 372744/11

Greatest Common Factor of 550,605,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,605,682 By Matching Biggest Common Factor Method

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 550,605,682 . The biggest common factor number is the GCF number.
So the greatest common factor 550,605,682 is 11.


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 72/550, 62/605, 501/682

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 72/550, 62/605, 501/682?

Answer: LCM of Numerators as per given numbers 72/550, 62/605, 501/682 is

LCM of Numerators i.e. for 72,62,501 is 372744

GCF of denominators i.e. for 550,605,682 is 11.

Thus, LCM of Fractions is 372744/11.Finally, LCM of Fractions for 72/550, 62/605, 501/682 is 372744/11.