Least Common Multiple of 55/765, 26/694, 452/425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/765, 26/694, 452/425 quickly i.e. 323180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/765, 26/694, 452/425 is 323180.

LCM(55/765, 26/694, 452/425) = 323180

LCM of 55/765, 26/694, 452/425

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 55/765,26/694,452/425

Given numbers are 55/765,26/694,452/425

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 55,26,452

Least Common Multiple of Numerators i.e. LCM of 55,26,452 is 323180.

GCF of Denominators means GCF of 765,694,425 as per the given fractions.

GCF of 765,694,425 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,26,452

LCM of Fractions 55/765,26/694,452/425 is 323180

2 55, 26, 452
55, 13, 226

∴ So the LCM of the given numbers is 2 x 55 x 13 x 226 = 323180

Least Common Multiple of 55,26,452 with GCF Formula

Least Common Multiple of 55,26,452 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 55,26,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,26,452) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(55,26,452) x common factors =1 x 2 = 2

LCM(55,26,452) = ( 55 × 26 × 452 ) / 2

LCM(55,26,452) = 646360 / 2

LCM(55,26,452) = 323180


Lets's calculate GCF of 765,694,425

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 323180/1

Therefore the LCM of Fractions 55/765,26/694,452/425 is 323180

Greatest Common Factor of 765,694,425 By Matching Biggest Common Factor Method

Greatest Common Factor of 765,694,425 By Matching Biggest Common Factor Method

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 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Greatest Common Factor

We found the factors 765,694,425 . The biggest common factor number is the GCF number.
So the greatest common factor 765,694,425 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 55/765, 26/694, 452/425

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 55/765, 26/694, 452/425?

Answer: LCM of Numerators as per given numbers 55/765, 26/694, 452/425 is

LCM of Numerators i.e. for 55,26,452 is 323180

GCF of denominators i.e. for 765,694,425 is 1.

Thus, LCM of Fractions is 323180.Finally, LCM of Fractions for 55/765, 26/694, 452/425 is 323180.