Least Common Multiple of 790/371, 289/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 790/371, 289/464 quickly i.e. 228310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 790/371, 289/464 is 228310.

LCM(790/371, 289/464) = 228310

LCM of 790/371, 289/464

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 790/371,289/464

Given numbers are 790/371,289/464

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 790,289

Least Common Multiple of Numerators i.e. LCM of 790,289 is 228310.

GCF of Denominators means GCF of 371,464 as per the given fractions.

GCF of 371,464 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 790,289

LCM of Fractions 790/371,289/464 is 228310

Given numbers has no common factors except 1. So, there LCM is their product i.e 228310

Least Common Multiple of 790,289 with GCF Formula

Least Common Multiple of 790,289 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 790,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,289) = 1

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

GCF(790,289) x common factors =1 x 1 = 1

LCM(790,289) = ( 790 × 289 ) / 1

LCM(790,289) = 228310 / 1

LCM(790,289) = 228310


Lets's calculate GCF of 371,464

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 228310/1

Therefore the LCM of Fractions 790/371,289/464 is 228310

Greatest Common Factor of 371,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 371,464 By Matching Biggest Common Factor Method

Factors of 371

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

1,7,53,371

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 371,464 . The biggest common factor number is the GCF number.
So the greatest common factor 371,464 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 790/371, 289/464

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 790/371, 289/464?

Answer: LCM of Numerators as per given numbers 790/371, 289/464 is

LCM of Numerators i.e. for 790,289 is 228310

GCF of denominators i.e. for 371,464 is 1.

Thus, LCM of Fractions is 228310.Finally, LCM of Fractions for 790/371, 289/464 is 228310.