Least Common Multiple of 44/12, 53/52, 10/64, 41/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/12, 53/52, 10/64, 41/864 quickly i.e. 119515 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/12, 53/52, 10/64, 41/864 is 119515.

LCM(44/12, 53/52, 10/64, 41/864) = 119515

LCM of 44/12, 53/52, 10/64, 41/864

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 44/12,53/52,10/64,41/864

Given numbers are 44/12,53/52,10/64,41/864

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 44,53,10,41

Least Common Multiple of Numerators i.e. LCM of 44,53,10,41 is 478060.

GCF of Denominators means GCF of 12,52,64,864 as per the given fractions.

GCF of 12,52,64,864 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,53,10,41

LCM of Fractions 44/12,53/52,10/64,41/864 is 119515

2 44, 53, 10, 41
22, 53, 5, 41

∴ So the LCM of the given numbers is 2 x 22 x 53 x 5 x 41 = 478060

Least Common Multiple of 44,53,10,41 with GCF Formula

Least Common Multiple of 44,53,10,41 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 44,53,10,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,53,10,41) = 1

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

GCF(44,53,10,41) x common factors =1 x 2 = 2

LCM(44,53,10,41) = ( 44 × 53 × 10 × 41 ) / 2

LCM(44,53,10,41) = 956120 / 2

LCM(44,53,10,41) = 478060


Lets's calculate GCF of 12,52,64,864

2 12, 52, 64, 864
2 6, 26, 32, 432
3, 13, 16, 216

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 478060/4

Therefore the LCM of Fractions 44/12,53/52,10/64,41/864 is 119515

Greatest Common Factor of 12,52,64,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,52,64,864 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors 12,52,64,864 . The biggest common factor number is the GCF number.
So the greatest common factor 12,52,64,864 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 44/12, 53/52, 10/64, 41/864

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 44/12, 53/52, 10/64, 41/864?

Answer: LCM of Numerators as per given numbers 44/12, 53/52, 10/64, 41/864 is

LCM of Numerators i.e. for 44,53,10,41 is 478060

GCF of denominators i.e. for 12,52,64,864 is 4.

Thus, LCM of Fractions is 119515.Finally, LCM of Fractions for 44/12, 53/52, 10/64, 41/864 is 119515.