Least Common Multiple of 41/69, 54/561, 124/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/69, 54/561, 124/912 quickly i.e. 45756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/69, 54/561, 124/912 is 45756.

LCM(41/69, 54/561, 124/912) = 45756

LCM of 41/69, 54/561, 124/912

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 41/69,54/561,124/912

Given numbers are 41/69,54/561,124/912

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 41,54,124

Least Common Multiple of Numerators i.e. LCM of 41,54,124 is 137268.

GCF of Denominators means GCF of 69,561,912 as per the given fractions.

GCF of 69,561,912 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,54,124

LCM of Fractions 41/69,54/561,124/912 is 45756

2 41, 54, 124
41, 27, 62

∴ So the LCM of the given numbers is 2 x 41 x 27 x 62 = 137268

Least Common Multiple of 41,54,124 with GCF Formula

Least Common Multiple of 41,54,124 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 41,54,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,54,124) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(41,54,124) x common factors =1 x 2 = 2

LCM(41,54,124) = ( 41 × 54 × 124 ) / 2

LCM(41,54,124) = 274536 / 2

LCM(41,54,124) = 137268


Lets's calculate GCF of 69,561,912

3 69, 561, 912
23, 187, 304

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137268/3

Therefore the LCM of Fractions 41/69,54/561,124/912 is 45756

Greatest Common Factor of 69,561,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,561,912 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 69,561,912 . The biggest common factor number is the GCF number.
So the greatest common factor 69,561,912 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 41/69, 54/561, 124/912

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 41/69, 54/561, 124/912?

Answer: LCM of Numerators as per given numbers 41/69, 54/561, 124/912 is

LCM of Numerators i.e. for 41,54,124 is 137268

GCF of denominators i.e. for 69,561,912 is 3.

Thus, LCM of Fractions is 45756.Finally, LCM of Fractions for 41/69, 54/561, 124/912 is 45756.