Least Common Multiple of 389/241, 790/128, 851/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 389/241, 790/128, 851/345 quickly i.e. 261520810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 389/241, 790/128, 851/345 is 261520810.

LCM(389/241, 790/128, 851/345) = 261520810

LCM of 389/241, 790/128, 851/345

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 389/241,790/128,851/345

Given numbers are 389/241,790/128,851/345

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 389,790,851

Least Common Multiple of Numerators i.e. LCM of 389,790,851 is 261520810.

GCF of Denominators means GCF of 241,128,345 as per the given fractions.

GCF of 241,128,345 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 389,790,851

LCM of Fractions 389/241,790/128,851/345 is 261520810

Given numbers has no common factors except 1. So, there LCM is their product i.e 261520810

Least Common Multiple of 389,790,851 with GCF Formula

Least Common Multiple of 389,790,851 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 389,790,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(389,790,851) = 1

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

GCF(389,790,851) x common factors =1 x 1 = 1

LCM(389,790,851) = ( 389 × 790 × 851 ) / 1

LCM(389,790,851) = 261520810 / 1

LCM(389,790,851) = 261520810


Lets's calculate GCF of 241,128,345

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 261520810/1

Therefore the LCM of Fractions 389/241,790/128,851/345 is 261520810

Greatest Common Factor of 241,128,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 241,128,345 By Matching Biggest Common Factor Method

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 241,128,345 . The biggest common factor number is the GCF number.
So the greatest common factor 241,128,345 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 389/241, 790/128, 851/345

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 389/241, 790/128, 851/345?

Answer: LCM of Numerators as per given numbers 389/241, 790/128, 851/345 is

LCM of Numerators i.e. for 389,790,851 is 261520810

GCF of denominators i.e. for 241,128,345 is 1.

Thus, LCM of Fractions is 261520810.Finally, LCM of Fractions for 389/241, 790/128, 851/345 is 261520810.