Least Common Multiple of 41/520, 912/628, 442/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/520, 912/628, 442/324 quickly i.e. 2065908 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/520, 912/628, 442/324 is 2065908.

LCM(41/520, 912/628, 442/324) = 2065908

LCM of 41/520, 912/628, 442/324

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 41/520,912/628,442/324

Given numbers are 41/520,912/628,442/324

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 41,912,442

Least Common Multiple of Numerators i.e. LCM of 41,912,442 is 8263632.

GCF of Denominators means GCF of 520,628,324 as per the given fractions.

GCF of 520,628,324 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,912,442

LCM of Fractions 41/520,912/628,442/324 is 2065908

2 41, 912, 442
41, 456, 221

∴ So the LCM of the given numbers is 2 x 41 x 456 x 221 = 8263632

Least Common Multiple of 41,912,442 with GCF Formula

Least Common Multiple of 41,912,442 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 41,912,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,912,442) = 1

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

GCF(41,912,442) x common factors =1 x 2 = 2

LCM(41,912,442) = ( 41 × 912 × 442 ) / 2

LCM(41,912,442) = 16527264 / 2

LCM(41,912,442) = 8263632


Lets's calculate GCF of 520,628,324

2 520, 628, 324
2 260, 314, 162
130, 157, 81

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8263632/4

Therefore the LCM of Fractions 41/520,912/628,442/324 is 2065908

Greatest Common Factor of 520,628,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,628,324 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 520,628,324 . The biggest common factor number is the GCF number.
So the greatest common factor 520,628,324 is 4.


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 41/520, 912/628, 442/324

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 41/520, 912/628, 442/324?

Answer: LCM of Numerators as per given numbers 41/520, 912/628, 442/324 is

LCM of Numerators i.e. for 41,912,442 is 8263632

GCF of denominators i.e. for 520,628,324 is 4.

Thus, LCM of Fractions is 2065908.Finally, LCM of Fractions for 41/520, 912/628, 442/324 is 2065908.