Least Common Multiple of 255/586, 123/513, 160/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 255/586, 123/513, 160/616 quickly i.e. 334560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 255/586, 123/513, 160/616 is 334560.

LCM(255/586, 123/513, 160/616) = 334560

LCM of 255/586, 123/513, 160/616

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 255/586,123/513,160/616

Given numbers are 255/586,123/513,160/616

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 255,123,160

Least Common Multiple of Numerators i.e. LCM of 255,123,160 is 334560.

GCF of Denominators means GCF of 586,513,616 as per the given fractions.

GCF of 586,513,616 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 255,123,160

LCM of Fractions 255/586,123/513,160/616 is 334560

3 255, 123, 160
5 85, 41, 160
17, 41, 32

∴ So the LCM of the given numbers is 3 x 5 x 17 x 41 x 32 = 334560

Least Common Multiple of 255,123,160 with GCF Formula

Least Common Multiple of 255,123,160 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 255,123,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(255,123,160) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(255,123,160) x common factors =1 x 15 = 15

LCM(255,123,160) = ( 255 × 123 × 160 ) / 15

LCM(255,123,160) = 5018400 / 15

LCM(255,123,160) = 334560


Lets's calculate GCF of 586,513,616

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 334560/1

Therefore the LCM of Fractions 255/586,123/513,160/616 is 334560

Greatest Common Factor of 586,513,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 586,513,616 By Matching Biggest Common Factor Method

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 586,513,616 . The biggest common factor number is the GCF number.
So the greatest common factor 586,513,616 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 255/586, 123/513, 160/616

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 255/586, 123/513, 160/616?

Answer: LCM of Numerators as per given numbers 255/586, 123/513, 160/616 is

LCM of Numerators i.e. for 255,123,160 is 334560

GCF of denominators i.e. for 586,513,616 is 1.

Thus, LCM of Fractions is 334560.Finally, LCM of Fractions for 255/586, 123/513, 160/616 is 334560.