Least Common Multiple of 43/44, 72/466, 856/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/44, 72/466, 856/854 quickly i.e. 165636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/44, 72/466, 856/854 is 165636.

LCM(43/44, 72/466, 856/854) = 165636

LCM of 43/44, 72/466, 856/854

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 43/44,72/466,856/854

Given numbers are 43/44,72/466,856/854

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 43,72,856

Least Common Multiple of Numerators i.e. LCM of 43,72,856 is 331272.

GCF of Denominators means GCF of 44,466,854 as per the given fractions.

GCF of 44,466,854 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,72,856

LCM of Fractions 43/44,72/466,856/854 is 165636

2 43, 72, 856
2 43, 36, 428
2 43, 18, 214
43, 9, 107

∴ So the LCM of the given numbers is 2 x 2 x 2 x 43 x 9 x 107 = 331272

Least Common Multiple of 43,72,856 with GCF Formula

Least Common Multiple of 43,72,856 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 43,72,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,72,856) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(43,72,856) x common factors =1 x 8 = 8

LCM(43,72,856) = ( 43 × 72 × 856 ) / 8

LCM(43,72,856) = 2650176 / 8

LCM(43,72,856) = 331272


Lets's calculate GCF of 44,466,854

2 44, 466, 854
22, 233, 427

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 331272/2

Therefore the LCM of Fractions 43/44,72/466,856/854 is 165636

Greatest Common Factor of 44,466,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,466,854 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 44,466,854 . The biggest common factor number is the GCF number.
So the greatest common factor 44,466,854 is 2.


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 43/44, 72/466, 856/854

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 43/44, 72/466, 856/854?

Answer: LCM of Numerators as per given numbers 43/44, 72/466, 856/854 is

LCM of Numerators i.e. for 43,72,856 is 331272

GCF of denominators i.e. for 44,466,854 is 2.

Thus, LCM of Fractions is 165636.Finally, LCM of Fractions for 43/44, 72/466, 856/854 is 165636.