Least Common Multiple of 590/768, 948/765, 268/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 590/768, 948/765, 268/874 quickly i.e. 18737220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 590/768, 948/765, 268/874 is 18737220.

LCM(590/768, 948/765, 268/874) = 18737220

LCM of 590/768, 948/765, 268/874

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 590/768,948/765,268/874

Given numbers are 590/768,948/765,268/874

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 590,948,268

Least Common Multiple of Numerators i.e. LCM of 590,948,268 is 18737220.

GCF of Denominators means GCF of 768,765,874 as per the given fractions.

GCF of 768,765,874 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 590,948,268

LCM of Fractions 590/768,948/765,268/874 is 18737220

2 590, 948, 268
2 295, 474, 134
295, 237, 67

∴ So the LCM of the given numbers is 2 x 2 x 295 x 237 x 67 = 18737220

Least Common Multiple of 590,948,268 with GCF Formula

Least Common Multiple of 590,948,268 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 590,948,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(590,948,268) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(590,948,268) x common factors =2 x 4 = 8

LCM(590,948,268) = ( 590 × 948 × 268 ) / 8

LCM(590,948,268) = 149897760 / 8

LCM(590,948,268) = 18737220


Lets's calculate GCF of 768,765,874

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18737220/1

Therefore the LCM of Fractions 590/768,948/765,268/874 is 18737220

Greatest Common Factor of 768,765,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,765,874 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 768,765,874 . The biggest common factor number is the GCF number.
So the greatest common factor 768,765,874 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 590/768, 948/765, 268/874

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 590/768, 948/765, 268/874?

Answer: LCM of Numerators as per given numbers 590/768, 948/765, 268/874 is

LCM of Numerators i.e. for 590,948,268 is 18737220

GCF of denominators i.e. for 768,765,874 is 1.

Thus, LCM of Fractions is 18737220.Finally, LCM of Fractions for 590/768, 948/765, 268/874 is 18737220.