Least Common Multiple of 74/59, 32/50, 36/57, 16/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/59, 32/50, 36/57, 16/854 quickly i.e. 10656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/59, 32/50, 36/57, 16/854 is 10656.

LCM(74/59, 32/50, 36/57, 16/854) = 10656

LCM of 74/59, 32/50, 36/57, 16/854

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 74/59,32/50,36/57,16/854

Given numbers are 74/59,32/50,36/57,16/854

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 74,32,36,16

Least Common Multiple of Numerators i.e. LCM of 74,32,36,16 is 10656.

GCF of Denominators means GCF of 59,50,57,854 as per the given fractions.

GCF of 59,50,57,854 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,32,36,16

LCM of Fractions 74/59,32/50,36/57,16/854 is 10656

2 74, 32, 36, 16
2 37, 16, 18, 8
2 37, 4, 9, 8
2 37, 2, 9, 4
37, 1, 9, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 37 x 1 x 9 x 2 = 10656

Least Common Multiple of 74,32,36,16 with GCF Formula

Least Common Multiple of 74,32,36,16 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 74,32,36,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,32,36,16) = 2

common factors(in case of two or more numbers have common factors) = 64

GCF(74,32,36,16) x common factors =2 x 64 = 128

LCM(74,32,36,16) = ( 74 × 32 × 36 × 16 ) / 128

LCM(74,32,36,16) = 1363968 / 128

LCM(74,32,36,16) = 10656


Lets's calculate GCF of 59,50,57,854

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10656/1

Therefore the LCM of Fractions 74/59,32/50,36/57,16/854 is 10656

Greatest Common Factor of 59,50,57,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,50,57,854 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

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 59,50,57,854 . The biggest common factor number is the GCF number.
So the greatest common factor 59,50,57,854 is 1.


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 74/59, 32/50, 36/57, 16/854

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 74/59, 32/50, 36/57, 16/854?

Answer: LCM of Numerators as per given numbers 74/59, 32/50, 36/57, 16/854 is

LCM of Numerators i.e. for 74,32,36,16 is 10656

GCF of denominators i.e. for 59,50,57,854 is 1.

Thus, LCM of Fractions is 10656.Finally, LCM of Fractions for 74/59, 32/50, 36/57, 16/854 is 10656.