Least Common Multiple of 30/295, 9072/9775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/295, 9072/9775 quickly i.e. 9072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/295, 9072/9775 is 9072.

LCM(30/295, 9072/9775) = 9072

LCM of 30/295, 9072/9775

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 30/295,9072/9775

Given numbers are 30/295,9072/9775

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 30,9072

Least Common Multiple of Numerators i.e. LCM of 30,9072 is 45360.

GCF of Denominators means GCF of 295,9775 as per the given fractions.

GCF of 295,9775 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,9072

LCM of Fractions 30/295,9072/9775 is 9072

2 30, 9072
3 15, 4536
5, 1512

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1512 = 45360

Least Common Multiple of 30,9072 with GCF Formula

Least Common Multiple of 30,9072 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 30,9072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,9072) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(30,9072) x common factors =6 x 1 = 6

LCM(30,9072) = ( 30 × 9072 ) / 6

LCM(30,9072) = 272160 / 6

LCM(30,9072) = 45360


Lets's calculate GCF of 295,9775

5 295, 9775
59, 1955

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45360/5

Therefore the LCM of Fractions 30/295,9072/9775 is 9072

Greatest Common Factor of 295,9775 By Matching Biggest Common Factor Method

Greatest Common Factor of 295,9775 By Matching Biggest Common Factor Method

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Factors of 9775

List of positive integer factors of 9775 that divides 9775 without a remainder.

1,5,17,23,25,85,115,391,425,575,1955,9775

Greatest Common Factor

We found the factors 295,9775 . The biggest common factor number is the GCF number.
So the greatest common factor 295,9775 is 5.


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 30/295, 9072/9775

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 30/295, 9072/9775?

Answer: LCM of Numerators as per given numbers 30/295, 9072/9775 is

LCM of Numerators i.e. for 30,9072 is 45360

GCF of denominators i.e. for 295,9775 is 5.

Thus, LCM of Fractions is 9072.Finally, LCM of Fractions for 30/295, 9072/9775 is 9072.