Least Common Multiple of 7125/77, 9366/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7125/77, 9366/312 quickly i.e. 22244250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7125/77, 9366/312 is 22244250.

LCM(7125/77, 9366/312) = 22244250

LCM of 7125/77, 9366/312

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 7125/77,9366/312

Given numbers are 7125/77,9366/312

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 7125,9366

Least Common Multiple of Numerators i.e. LCM of 7125,9366 is 22244250.

GCF of Denominators means GCF of 77,312 as per the given fractions.

GCF of 77,312 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7125,9366

LCM of Fractions 7125/77,9366/312 is 22244250

3 7125, 9366
2375, 3122

∴ So the LCM of the given numbers is 3 x 2375 x 3122 = 22244250

Least Common Multiple of 7125,9366 with GCF Formula

Least Common Multiple of 7125,9366 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 7125,9366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7125,9366) = 3

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

GCF(7125,9366) x common factors =3 x 1 = 3

LCM(7125,9366) = ( 7125 × 9366 ) / 3

LCM(7125,9366) = 66732750 / 3

LCM(7125,9366) = 22244250


Lets's calculate GCF of 77,312

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22244250/1

Therefore the LCM of Fractions 7125/77,9366/312 is 22244250

Greatest Common Factor of 77,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,312 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 77,312 . The biggest common factor number is the GCF number.
So the greatest common factor 77,312 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 7125/77, 9366/312

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 7125/77, 9366/312?

Answer: LCM of Numerators as per given numbers 7125/77, 9366/312 is

LCM of Numerators i.e. for 7125,9366 is 22244250

GCF of denominators i.e. for 77,312 is 1.

Thus, LCM of Fractions is 22244250.Finally, LCM of Fractions for 7125/77, 9366/312 is 22244250.