Least Common Multiple of 798/940, 525/659, 255/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 798/940, 525/659, 255/626 quickly i.e. 339150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 798/940, 525/659, 255/626 is 339150.

LCM(798/940, 525/659, 255/626) = 339150

LCM of 798/940, 525/659, 255/626

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 798/940,525/659,255/626

Given numbers are 798/940,525/659,255/626

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 798,525,255

Least Common Multiple of Numerators i.e. LCM of 798,525,255 is 339150.

GCF of Denominators means GCF of 940,659,626 as per the given fractions.

GCF of 940,659,626 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 798,525,255

LCM of Fractions 798/940,525/659,255/626 is 339150

3 798, 525, 255
5 266, 175, 85
7 266, 35, 17
38, 5, 17

∴ So the LCM of the given numbers is 3 x 5 x 7 x 38 x 5 x 17 = 339150

Least Common Multiple of 798,525,255 with GCF Formula

Least Common Multiple of 798,525,255 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 798,525,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,525,255) = 3

common factors(in case of two or more numbers have common factors) = 105

GCF(798,525,255) x common factors =3 x 105 = 315

LCM(798,525,255) = ( 798 × 525 × 255 ) / 315

LCM(798,525,255) = 106832250 / 315

LCM(798,525,255) = 339150


Lets's calculate GCF of 940,659,626

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 339150/1

Therefore the LCM of Fractions 798/940,525/659,255/626 is 339150

Greatest Common Factor of 940,659,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 940,659,626 By Matching Biggest Common Factor Method

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 940,659,626 . The biggest common factor number is the GCF number.
So the greatest common factor 940,659,626 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 798/940, 525/659, 255/626

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 798/940, 525/659, 255/626?

Answer: LCM of Numerators as per given numbers 798/940, 525/659, 255/626 is

LCM of Numerators i.e. for 798,525,255 is 339150

GCF of denominators i.e. for 940,659,626 is 1.

Thus, LCM of Fractions is 339150.Finally, LCM of Fractions for 798/940, 525/659, 255/626 is 339150.