Least Common Multiple of 633/42, 711/82, 780/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 633/42, 711/82, 780/501 quickly i.e. 39005460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 633/42, 711/82, 780/501 is 39005460.

LCM(633/42, 711/82, 780/501) = 39005460

LCM of 633/42, 711/82, 780/501

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 633/42,711/82,780/501

Given numbers are 633/42,711/82,780/501

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 633,711,780

Least Common Multiple of Numerators i.e. LCM of 633,711,780 is 39005460.

GCF of Denominators means GCF of 42,82,501 as per the given fractions.

GCF of 42,82,501 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 633,711,780

LCM of Fractions 633/42,711/82,780/501 is 39005460

3 633, 711, 780
211, 237, 260

∴ So the LCM of the given numbers is 3 x 211 x 237 x 260 = 39005460

Least Common Multiple of 633,711,780 with GCF Formula

Least Common Multiple of 633,711,780 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 633,711,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(633,711,780) = 3

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

GCF(633,711,780) x common factors =3 x 3 = 9

LCM(633,711,780) = ( 633 × 711 × 780 ) / 9

LCM(633,711,780) = 351049140 / 9

LCM(633,711,780) = 39005460


Lets's calculate GCF of 42,82,501

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39005460/1

Therefore the LCM of Fractions 633/42,711/82,780/501 is 39005460

Greatest Common Factor of 42,82,501 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,82,501 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Greatest Common Factor

We found the factors 42,82,501 . The biggest common factor number is the GCF number.
So the greatest common factor 42,82,501 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 633/42, 711/82, 780/501

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 633/42, 711/82, 780/501?

Answer: LCM of Numerators as per given numbers 633/42, 711/82, 780/501 is

LCM of Numerators i.e. for 633,711,780 is 39005460

GCF of denominators i.e. for 42,82,501 is 1.

Thus, LCM of Fractions is 39005460.Finally, LCM of Fractions for 633/42, 711/82, 780/501 is 39005460.