Least Common Multiple of 633/58, 512/61, 829/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 633/58, 512/61, 829/743 quickly i.e. 268675584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 633/58, 512/61, 829/743 is 268675584.

LCM(633/58, 512/61, 829/743) = 268675584

LCM of 633/58, 512/61, 829/743

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 633/58,512/61,829/743

Given numbers are 633/58,512/61,829/743

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 633,512,829

Least Common Multiple of Numerators i.e. LCM of 633,512,829 is 268675584.

GCF of Denominators means GCF of 58,61,743 as per the given fractions.

GCF of 58,61,743 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 633,512,829

LCM of Fractions 633/58,512/61,829/743 is 268675584

Given numbers has no common factors except 1. So, there LCM is their product i.e 268675584

Least Common Multiple of 633,512,829 with GCF Formula

Least Common Multiple of 633,512,829 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 633,512,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(633,512,829) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(633,512,829) x common factors =1 x 1 = 1

LCM(633,512,829) = ( 633 × 512 × 829 ) / 1

LCM(633,512,829) = 268675584 / 1

LCM(633,512,829) = 268675584


Lets's calculate GCF of 58,61,743

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 268675584/1

Therefore the LCM of Fractions 633/58,512/61,829/743 is 268675584

Greatest Common Factor of 58,61,743 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,61,743 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Greatest Common Factor

We found the factors 58,61,743 . The biggest common factor number is the GCF number.
So the greatest common factor 58,61,743 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 633/58, 512/61, 829/743

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 633/58, 512/61, 829/743?

Answer: LCM of Numerators as per given numbers 633/58, 512/61, 829/743 is

LCM of Numerators i.e. for 633,512,829 is 268675584

GCF of denominators i.e. for 58,61,743 is 1.

Thus, LCM of Fractions is 268675584.Finally, LCM of Fractions for 633/58, 512/61, 829/743 is 268675584.