Least Common Multiple of 226/546, 915/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 226/546, 915/429 quickly i.e. 206790/39 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 226/546, 915/429 is 206790/39.

LCM(226/546, 915/429) = 206790/39

LCM of 226/546, 915/429

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 226/546,915/429

Given numbers are 226/546,915/429

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 226,915

Least Common Multiple of Numerators i.e. LCM of 226,915 is 206790.

GCF of Denominators means GCF of 546,429 as per the given fractions.

GCF of 546,429 is 39 as it is the largest common factor for these numbers.

Lets's calculate LCM of 226,915

LCM of Fractions 226/546,915/429 is 206790/39

Given numbers has no common factors except 1. So, there LCM is their product i.e 206790

Least Common Multiple of 226,915 with GCF Formula

Least Common Multiple of 226,915 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 226,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(226,915) = 1

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

GCF(226,915) x common factors =1 x 1 = 1

LCM(226,915) = ( 226 × 915 ) / 1

LCM(226,915) = 206790 / 1

LCM(226,915) = 206790


Lets's calculate GCF of 546,429

3 546, 429
13 182, 143
14, 11

∴ So the GCF of the given numbers is 3 x 13 = 39

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 206790/39

Therefore the LCM of Fractions 226/546,915/429 is 206790/39

Greatest Common Factor of 546,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,429 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 546,429 . The biggest common factor number is the GCF number.
So the greatest common factor 546,429 is 39.


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 226/546, 915/429

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 226/546, 915/429?

Answer: LCM of Numerators as per given numbers 226/546, 915/429 is

LCM of Numerators i.e. for 226,915 is 206790

GCF of denominators i.e. for 546,429 is 39.

Thus, LCM of Fractions is 206790/39.Finally, LCM of Fractions for 226/546, 915/429 is 206790/39.