Least Common Multiple of 501/206, 709/774, 759/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 501/206, 709/774, 759/213 quickly i.e. 89867877 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 501/206, 709/774, 759/213 is 89867877.

LCM(501/206, 709/774, 759/213) = 89867877

LCM of 501/206, 709/774, 759/213

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 501/206,709/774,759/213

Given numbers are 501/206,709/774,759/213

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 501,709,759

Least Common Multiple of Numerators i.e. LCM of 501,709,759 is 89867877.

GCF of Denominators means GCF of 206,774,213 as per the given fractions.

GCF of 206,774,213 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 501,709,759

LCM of Fractions 501/206,709/774,759/213 is 89867877

3 501, 709, 759
167, 709, 253

∴ So the LCM of the given numbers is 3 x 167 x 709 x 253 = 89867877

Least Common Multiple of 501,709,759 with GCF Formula

Least Common Multiple of 501,709,759 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 501,709,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,709,759) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(501,709,759) x common factors =1 x 3 = 3

LCM(501,709,759) = ( 501 × 709 × 759 ) / 3

LCM(501,709,759) = 269603631 / 3

LCM(501,709,759) = 89867877


Lets's calculate GCF of 206,774,213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89867877/1

Therefore the LCM of Fractions 501/206,709/774,759/213 is 89867877

Greatest Common Factor of 206,774,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,774,213 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 206,774,213 . The biggest common factor number is the GCF number.
So the greatest common factor 206,774,213 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 501/206, 709/774, 759/213

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 501/206, 709/774, 759/213?

Answer: LCM of Numerators as per given numbers 501/206, 709/774, 759/213 is

LCM of Numerators i.e. for 501,709,759 is 89867877

GCF of denominators i.e. for 206,774,213 is 1.

Thus, LCM of Fractions is 89867877.Finally, LCM of Fractions for 501/206, 709/774, 759/213 is 89867877.