Least Common Multiple of 260/68, 576/43, 315/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 260/68, 576/43, 315/758 quickly i.e. 262080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 260/68, 576/43, 315/758 is 262080.

LCM(260/68, 576/43, 315/758) = 262080

LCM of 260/68, 576/43, 315/758

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 260/68,576/43,315/758

Given numbers are 260/68,576/43,315/758

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 260,576,315

Least Common Multiple of Numerators i.e. LCM of 260,576,315 is 262080.

GCF of Denominators means GCF of 68,43,758 as per the given fractions.

GCF of 68,43,758 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 260,576,315

LCM of Fractions 260/68,576/43,315/758 is 262080

2 260, 576, 315
2 130, 288, 315
3 65, 144, 315
3 65, 48, 105
5 65, 16, 35
13, 16, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 13 x 16 x 7 = 262080

Least Common Multiple of 260,576,315 with GCF Formula

Least Common Multiple of 260,576,315 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 260,576,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,576,315) = 1

common factors(in case of two or more numbers have common factors) = 180

GCF(260,576,315) x common factors =1 x 180 = 180

LCM(260,576,315) = ( 260 × 576 × 315 ) / 180

LCM(260,576,315) = 47174400 / 180

LCM(260,576,315) = 262080


Lets's calculate GCF of 68,43,758

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 262080/1

Therefore the LCM of Fractions 260/68,576/43,315/758 is 262080

Greatest Common Factor of 68,43,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,43,758 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Greatest Common Factor

We found the factors 68,43,758 . The biggest common factor number is the GCF number.
So the greatest common factor 68,43,758 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 260/68, 576/43, 315/758

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 260/68, 576/43, 315/758?

Answer: LCM of Numerators as per given numbers 260/68, 576/43, 315/758 is

LCM of Numerators i.e. for 260,576,315 is 262080

GCF of denominators i.e. for 68,43,758 is 1.

Thus, LCM of Fractions is 262080.Finally, LCM of Fractions for 260/68, 576/43, 315/758 is 262080.