Least Common Multiple of 375/96, 122/9219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 375/96, 122/9219 quickly i.e. 15250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 375/96, 122/9219 is 15250.

LCM(375/96, 122/9219) = 15250

LCM of 375/96, 122/9219

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 375/96,122/9219

Given numbers are 375/96,122/9219

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 375,122

Least Common Multiple of Numerators i.e. LCM of 375,122 is 45750.

GCF of Denominators means GCF of 96,9219 as per the given fractions.

GCF of 96,9219 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 375,122

LCM of Fractions 375/96,122/9219 is 15250

Given numbers has no common factors except 1. So, there LCM is their product i.e 45750

Least Common Multiple of 375,122 with GCF Formula

Least Common Multiple of 375,122 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 375,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(375,122) = 1

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

GCF(375,122) x common factors =1 x 1 = 1

LCM(375,122) = ( 375 × 122 ) / 1

LCM(375,122) = 45750 / 1

LCM(375,122) = 45750


Lets's calculate GCF of 96,9219

3 96, 9219
32, 3073

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45750/3

Therefore the LCM of Fractions 375/96,122/9219 is 15250

Greatest Common Factor of 96,9219 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,9219 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 9219

List of positive integer factors of 9219 that divides 9219 without a remainder.

1,3,7,21,439,1317,3073,9219

Greatest Common Factor

We found the factors 96,9219 . The biggest common factor number is the GCF number.
So the greatest common factor 96,9219 is 3.


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 375/96, 122/9219

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 375/96, 122/9219?

Answer: LCM of Numerators as per given numbers 375/96, 122/9219 is

LCM of Numerators i.e. for 375,122 is 45750

GCF of denominators i.e. for 96,9219 is 3.

Thus, LCM of Fractions is 15250.Finally, LCM of Fractions for 375/96, 122/9219 is 15250.