Least Common Multiple of 9084/25, 1177/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9084/25, 1177/300 quickly i.e. 10691868/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9084/25, 1177/300 is 10691868/25.

LCM(9084/25, 1177/300) = 10691868/25

LCM of 9084/25, 1177/300

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 9084/25,1177/300

Given numbers are 9084/25,1177/300

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 9084,1177

Least Common Multiple of Numerators i.e. LCM of 9084,1177 is 10691868.

GCF of Denominators means GCF of 25,300 as per the given fractions.

GCF of 25,300 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9084,1177

LCM of Fractions 9084/25,1177/300 is 10691868/25

Given numbers has no common factors except 1. So, there LCM is their product i.e 10691868

Least Common Multiple of 9084,1177 with GCF Formula

Least Common Multiple of 9084,1177 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 9084,1177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9084,1177) = 1

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

GCF(9084,1177) x common factors =1 x 1 = 1

LCM(9084,1177) = ( 9084 × 1177 ) / 1

LCM(9084,1177) = 10691868 / 1

LCM(9084,1177) = 10691868


Lets's calculate GCF of 25,300

5 25, 300
5 5, 60
1, 12

∴ So the GCF of the given numbers is 5 x 5 = 25

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10691868/25

Therefore the LCM of Fractions 9084/25,1177/300 is 10691868/25

Greatest Common Factor of 25,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,300 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 25,300 . The biggest common factor number is the GCF number.
So the greatest common factor 25,300 is 25.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9084/25, 1177/300

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 9084/25, 1177/300?

Answer: LCM of Numerators as per given numbers 9084/25, 1177/300 is

LCM of Numerators i.e. for 9084,1177 is 10691868

GCF of denominators i.e. for 25,300 is 25.

Thus, LCM of Fractions is 10691868/25.Finally, LCM of Fractions for 9084/25, 1177/300 is 10691868/25.