Least Common Multiple of 790/50, 731/58, 689/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 790/50, 731/58, 689/352 quickly i.e. 198945305 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 790/50, 731/58, 689/352 is 198945305.

LCM(790/50, 731/58, 689/352) = 198945305

LCM of 790/50, 731/58, 689/352

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 790/50,731/58,689/352

Given numbers are 790/50,731/58,689/352

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 790,731,689

Least Common Multiple of Numerators i.e. LCM of 790,731,689 is 397890610.

GCF of Denominators means GCF of 50,58,352 as per the given fractions.

GCF of 50,58,352 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 790,731,689

LCM of Fractions 790/50,731/58,689/352 is 198945305

Given numbers has no common factors except 1. So, there LCM is their product i.e 397890610

Least Common Multiple of 790,731,689 with GCF Formula

Least Common Multiple of 790,731,689 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 790,731,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,731,689) = 1

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

GCF(790,731,689) x common factors =1 x 1 = 1

LCM(790,731,689) = ( 790 × 731 × 689 ) / 1

LCM(790,731,689) = 397890610 / 1

LCM(790,731,689) = 397890610


Lets's calculate GCF of 50,58,352

2 50, 58, 352
25, 29, 176

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 397890610/2

Therefore the LCM of Fractions 790/50,731/58,689/352 is 198945305

Greatest Common Factor of 50,58,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,58,352 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 58

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

1,2,29,58

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 50,58,352 . The biggest common factor number is the GCF number.
So the greatest common factor 50,58,352 is 2.


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 790/50, 731/58, 689/352

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 790/50, 731/58, 689/352?

Answer: LCM of Numerators as per given numbers 790/50, 731/58, 689/352 is

LCM of Numerators i.e. for 790,731,689 is 397890610

GCF of denominators i.e. for 50,58,352 is 2.

Thus, LCM of Fractions is 198945305.Finally, LCM of Fractions for 790/50, 731/58, 689/352 is 198945305.