Least Common Multiple of 41/45, 111/84, 306/636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/45, 111/84, 306/636 quickly i.e. 154734 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/45, 111/84, 306/636 is 154734.

LCM(41/45, 111/84, 306/636) = 154734

LCM of 41/45, 111/84, 306/636

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 41/45,111/84,306/636

Given numbers are 41/45,111/84,306/636

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 41,111,306

Least Common Multiple of Numerators i.e. LCM of 41,111,306 is 464202.

GCF of Denominators means GCF of 45,84,636 as per the given fractions.

GCF of 45,84,636 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,111,306

LCM of Fractions 41/45,111/84,306/636 is 154734

3 41, 111, 306
41, 37, 102

∴ So the LCM of the given numbers is 3 x 41 x 37 x 102 = 464202

Least Common Multiple of 41,111,306 with GCF Formula

Least Common Multiple of 41,111,306 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 41,111,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,111,306) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(41,111,306) x common factors =1 x 3 = 3

LCM(41,111,306) = ( 41 × 111 × 306 ) / 3

LCM(41,111,306) = 1392606 / 3

LCM(41,111,306) = 464202


Lets's calculate GCF of 45,84,636

3 45, 84, 636
15, 28, 212

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 464202/3

Therefore the LCM of Fractions 41/45,111/84,306/636 is 154734

Greatest Common Factor of 45,84,636 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,84,636 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 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Greatest Common Factor

We found the factors 45,84,636 . The biggest common factor number is the GCF number.
So the greatest common factor 45,84,636 is 3.


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 41/45, 111/84, 306/636

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 41/45, 111/84, 306/636?

Answer: LCM of Numerators as per given numbers 41/45, 111/84, 306/636 is

LCM of Numerators i.e. for 41,111,306 is 464202

GCF of denominators i.e. for 45,84,636 is 3.

Thus, LCM of Fractions is 154734.Finally, LCM of Fractions for 41/45, 111/84, 306/636 is 154734.