Least Common Multiple of 255/505, 860/389, 357/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 255/505, 860/389, 357/344 quickly i.e. 307020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 255/505, 860/389, 357/344 is 307020.

LCM(255/505, 860/389, 357/344) = 307020

LCM of 255/505, 860/389, 357/344

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 255/505,860/389,357/344

Given numbers are 255/505,860/389,357/344

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 255,860,357

Least Common Multiple of Numerators i.e. LCM of 255,860,357 is 307020.

GCF of Denominators means GCF of 505,389,344 as per the given fractions.

GCF of 505,389,344 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 255,860,357

LCM of Fractions 255/505,860/389,357/344 is 307020

3 255, 860, 357
5 85, 860, 119
17 17, 172, 119
1, 172, 7

∴ So the LCM of the given numbers is 3 x 5 x 17 x 1 x 172 x 7 = 307020

Least Common Multiple of 255,860,357 with GCF Formula

Least Common Multiple of 255,860,357 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 255,860,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(255,860,357) = 1

common factors(in case of two or more numbers have common factors) = 255

GCF(255,860,357) x common factors =1 x 255 = 255

LCM(255,860,357) = ( 255 × 860 × 357 ) / 255

LCM(255,860,357) = 78290100 / 255

LCM(255,860,357) = 307020


Lets's calculate GCF of 505,389,344

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 307020/1

Therefore the LCM of Fractions 255/505,860/389,357/344 is 307020

Greatest Common Factor of 505,389,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 505,389,344 By Matching Biggest Common Factor Method

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 505,389,344 . The biggest common factor number is the GCF number.
So the greatest common factor 505,389,344 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 255/505, 860/389, 357/344

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 255/505, 860/389, 357/344?

Answer: LCM of Numerators as per given numbers 255/505, 860/389, 357/344 is

LCM of Numerators i.e. for 255,860,357 is 307020

GCF of denominators i.e. for 505,389,344 is 1.

Thus, LCM of Fractions is 307020.Finally, LCM of Fractions for 255/505, 860/389, 357/344 is 307020.