Least Common Multiple of 124/45, 226/13, 226/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 124/45, 226/13, 226/725 quickly i.e. 14012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 124/45, 226/13, 226/725 is 14012.

LCM(124/45, 226/13, 226/725) = 14012

LCM of 124/45, 226/13, 226/725

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 124/45,226/13,226/725

Given numbers are 124/45,226/13,226/725

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 124,226,226

Least Common Multiple of Numerators i.e. LCM of 124,226,226 is 14012.

GCF of Denominators means GCF of 45,13,725 as per the given fractions.

GCF of 45,13,725 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 124,226,226

LCM of Fractions 124/45,226/13,226/725 is 14012

2 124, 226, 226
113 62, 113, 113
62, 1, 1

∴ So the LCM of the given numbers is 2 x 113 x 62 x 1 x 1 = 14012

Least Common Multiple of 124,226,226 with GCF Formula

Least Common Multiple of 124,226,226 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 124,226,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(124,226,226) = 2

common factors(in case of two or more numbers have common factors) = 226

GCF(124,226,226) x common factors =2 x 226 = 452

LCM(124,226,226) = ( 124 × 226 × 226 ) / 452

LCM(124,226,226) = 6333424 / 452

LCM(124,226,226) = 14012


Lets's calculate GCF of 45,13,725

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14012/1

Therefore the LCM of Fractions 124/45,226/13,226/725 is 14012

Greatest Common Factor of 45,13,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,13,725 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors 45,13,725 . The biggest common factor number is the GCF number.
So the greatest common factor 45,13,725 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 124/45, 226/13, 226/725

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 124/45, 226/13, 226/725?

Answer: LCM of Numerators as per given numbers 124/45, 226/13, 226/725 is

LCM of Numerators i.e. for 124,226,226 is 14012

GCF of denominators i.e. for 45,13,725 is 1.

Thus, LCM of Fractions is 14012.Finally, LCM of Fractions for 124/45, 226/13, 226/725 is 14012.