Least Common Multiple of 25/226, 15/165, 419/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/226, 15/165, 419/774 quickly i.e. 31425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/226, 15/165, 419/774 is 31425.

LCM(25/226, 15/165, 419/774) = 31425

LCM of 25/226, 15/165, 419/774

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 25/226,15/165,419/774

Given numbers are 25/226,15/165,419/774

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 25,15,419

Least Common Multiple of Numerators i.e. LCM of 25,15,419 is 31425.

GCF of Denominators means GCF of 226,165,774 as per the given fractions.

GCF of 226,165,774 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,15,419

LCM of Fractions 25/226,15/165,419/774 is 31425

5 25, 15, 419
5, 3, 419

∴ So the LCM of the given numbers is 5 x 5 x 3 x 419 = 31425

Least Common Multiple of 25,15,419 with GCF Formula

Least Common Multiple of 25,15,419 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 25,15,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,15,419) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(25,15,419) x common factors =1 x 5 = 5

LCM(25,15,419) = ( 25 × 15 × 419 ) / 5

LCM(25,15,419) = 157125 / 5

LCM(25,15,419) = 31425


Lets's calculate GCF of 226,165,774

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31425/1

Therefore the LCM of Fractions 25/226,15/165,419/774 is 31425

Greatest Common Factor of 226,165,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 226,165,774 By Matching Biggest Common Factor Method

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 226,165,774 . The biggest common factor number is the GCF number.
So the greatest common factor 226,165,774 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 25/226, 15/165, 419/774

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 25/226, 15/165, 419/774?

Answer: LCM of Numerators as per given numbers 25/226, 15/165, 419/774 is

LCM of Numerators i.e. for 25,15,419 is 31425

GCF of denominators i.e. for 226,165,774 is 1.

Thus, LCM of Fractions is 31425.Finally, LCM of Fractions for 25/226, 15/165, 419/774 is 31425.