Least Common Multiple of 50/532, 114/371, 789/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/532, 114/371, 789/824 quickly i.e. 749550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/532, 114/371, 789/824 is 749550.

LCM(50/532, 114/371, 789/824) = 749550

LCM of 50/532, 114/371, 789/824

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 50/532,114/371,789/824

Given numbers are 50/532,114/371,789/824

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 50,114,789

Least Common Multiple of Numerators i.e. LCM of 50,114,789 is 749550.

GCF of Denominators means GCF of 532,371,824 as per the given fractions.

GCF of 532,371,824 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,114,789

LCM of Fractions 50/532,114/371,789/824 is 749550

2 50, 114, 789
3 25, 57, 789
25, 19, 263

∴ So the LCM of the given numbers is 2 x 3 x 25 x 19 x 263 = 749550

Least Common Multiple of 50,114,789 with GCF Formula

Least Common Multiple of 50,114,789 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 50,114,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,114,789) = 1

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

GCF(50,114,789) x common factors =1 x 6 = 6

LCM(50,114,789) = ( 50 × 114 × 789 ) / 6

LCM(50,114,789) = 4497300 / 6

LCM(50,114,789) = 749550


Lets's calculate GCF of 532,371,824

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 749550/1

Therefore the LCM of Fractions 50/532,114/371,789/824 is 749550

Greatest Common Factor of 532,371,824 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,371,824 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Greatest Common Factor

We found the factors 532,371,824 . The biggest common factor number is the GCF number.
So the greatest common factor 532,371,824 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 50/532, 114/371, 789/824

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 50/532, 114/371, 789/824?

Answer: LCM of Numerators as per given numbers 50/532, 114/371, 789/824 is

LCM of Numerators i.e. for 50,114,789 is 749550

GCF of denominators i.e. for 532,371,824 is 1.

Thus, LCM of Fractions is 749550.Finally, LCM of Fractions for 50/532, 114/371, 789/824 is 749550.