Least Common Multiple of 33/16, 26/45, 10/34, 74/31

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/16, 26/45, 10/34, 74/31 quickly i.e. 158730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/16, 26/45, 10/34, 74/31 is 158730.

LCM(33/16, 26/45, 10/34, 74/31) = 158730

LCM of 33/16, 26/45, 10/34, 74/31

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 33/16,26/45,10/34,74/31

Given numbers are 33/16,26/45,10/34,74/31

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 33,26,10,74

Least Common Multiple of Numerators i.e. LCM of 33,26,10,74 is 158730.

GCF of Denominators means GCF of 16,45,34,31 as per the given fractions.

GCF of 16,45,34,31 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,26,10,74

LCM of Fractions 33/16,26/45,10/34,74/31 is 158730

2 33, 26, 10, 74
33, 13, 5, 37

∴ So the LCM of the given numbers is 2 x 33 x 13 x 5 x 37 = 158730

Least Common Multiple of 33,26,10,74 with GCF Formula

Least Common Multiple of 33,26,10,74 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 33,26,10,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,26,10,74) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(33,26,10,74) x common factors =1 x 4 = 4

LCM(33,26,10,74) = ( 33 × 26 × 10 × 74 ) / 4

LCM(33,26,10,74) = 634920 / 4

LCM(33,26,10,74) = 158730


Lets's calculate GCF of 16,45,34,31

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158730/1

Therefore the LCM of Fractions 33/16,26/45,10/34,74/31 is 158730

Greatest Common Factor of 16,45,34,31 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,45,34,31 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Greatest Common Factor

We found the factors 16,45,34,31 . The biggest common factor number is the GCF number.
So the greatest common factor 16,45,34,31 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 33/16, 26/45, 10/34, 74/31

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 33/16, 26/45, 10/34, 74/31?

Answer: LCM of Numerators as per given numbers 33/16, 26/45, 10/34, 74/31 is

LCM of Numerators i.e. for 33,26,10,74 is 158730

GCF of denominators i.e. for 16,45,34,31 is 1.

Thus, LCM of Fractions is 158730.Finally, LCM of Fractions for 33/16, 26/45, 10/34, 74/31 is 158730.