Least Common Multiple of 2/45, 3/31, 9/15, 40/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2/45, 3/31, 9/15, 40/892 quickly i.e. 360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2/45, 3/31, 9/15, 40/892 is 360.

LCM(2/45, 3/31, 9/15, 40/892) = 360

LCM of 2/45, 3/31, 9/15, 40/892

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 2/45,3/31,9/15,40/892

Given numbers are 2/45,3/31,9/15,40/892

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 2,3,9,40

Least Common Multiple of Numerators i.e. LCM of 2,3,9,40 is 360.

GCF of Denominators means GCF of 45,31,15,892 as per the given fractions.

GCF of 45,31,15,892 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2,3,9,40

LCM of Fractions 2/45,3/31,9/15,40/892 is 360

2 2, 3, 9, 40
3 1, 3, 9, 20
1, 1, 3, 20

∴ So the LCM of the given numbers is 2 x 3 x 1 x 1 x 3 x 20 = 360

Least Common Multiple of 2,3,9,40 with GCF Formula

Least Common Multiple of 2,3,9,40 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 2,3,9,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2,3,9,40) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(2,3,9,40) x common factors =1 x 6 = 6

LCM(2,3,9,40) = ( 2 × 3 × 9 × 40 ) / 6

LCM(2,3,9,40) = 2160 / 6

LCM(2,3,9,40) = 360


Lets's calculate GCF of 45,31,15,892

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 360/1

Therefore the LCM of Fractions 2/45,3/31,9/15,40/892 is 360

Greatest Common Factor of 45,31,15,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,31,15,892 By Matching Biggest Common Factor Method

Factors of 45

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

1,3,5,9,15,45

Factors of 31

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

1,31

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 45,31,15,892 . The biggest common factor number is the GCF number.
So the greatest common factor 45,31,15,892 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 2/45, 3/31, 9/15, 40/892

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 2/45, 3/31, 9/15, 40/892?

Answer: LCM of Numerators as per given numbers 2/45, 3/31, 9/15, 40/892 is

LCM of Numerators i.e. for 2,3,9,40 is 360

GCF of denominators i.e. for 45,31,15,892 is 1.

Thus, LCM of Fractions is 360.Finally, LCM of Fractions for 2/45, 3/31, 9/15, 40/892 is 360.