Least Common Multiple of 575/138, 897/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 575/138, 897/474 quickly i.e. 22425/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 575/138, 897/474 is 22425/6.

LCM(575/138, 897/474) = 22425/6

LCM of 575/138, 897/474

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 575/138,897/474

Given numbers are 575/138,897/474

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 575,897

Least Common Multiple of Numerators i.e. LCM of 575,897 is 22425.

GCF of Denominators means GCF of 138,474 as per the given fractions.

GCF of 138,474 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 575,897

LCM of Fractions 575/138,897/474 is 22425/6

23 575, 897
25, 39

∴ So the LCM of the given numbers is 23 x 25 x 39 = 22425

Least Common Multiple of 575,897 with GCF Formula

Least Common Multiple of 575,897 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 575,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,897) = 23

common factors(in case of two or more numbers have common factors) = 1

GCF(575,897) x common factors =23 x 1 = 23

LCM(575,897) = ( 575 × 897 ) / 23

LCM(575,897) = 515775 / 23

LCM(575,897) = 22425


Lets's calculate GCF of 138,474

2 138, 474
3 69, 237
23, 79

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22425/6

Therefore the LCM of Fractions 575/138,897/474 is 22425/6

Greatest Common Factor of 138,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,474 By Matching Biggest Common Factor Method

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 138,474 . The biggest common factor number is the GCF number.
So the greatest common factor 138,474 is 6.


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 575/138, 897/474

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 575/138, 897/474?

Answer: LCM of Numerators as per given numbers 575/138, 897/474 is

LCM of Numerators i.e. for 575,897 is 22425

GCF of denominators i.e. for 138,474 is 6.

Thus, LCM of Fractions is 22425/6.Finally, LCM of Fractions for 575/138, 897/474 is 22425/6.