Least Common Multiple of 9628/382, 9169/7512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9628/382, 9169/7512 quickly i.e. 44139566 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9628/382, 9169/7512 is 44139566.

LCM(9628/382, 9169/7512) = 44139566

LCM of 9628/382, 9169/7512

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 9628/382,9169/7512

Given numbers are 9628/382,9169/7512

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 9628,9169

Least Common Multiple of Numerators i.e. LCM of 9628,9169 is 88279132.

GCF of Denominators means GCF of 382,7512 as per the given fractions.

GCF of 382,7512 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9628,9169

LCM of Fractions 9628/382,9169/7512 is 44139566

Given numbers has no common factors except 1. So, there LCM is their product i.e 88279132

Least Common Multiple of 9628,9169 with GCF Formula

Least Common Multiple of 9628,9169 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 9628,9169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9628,9169) = 1

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

GCF(9628,9169) x common factors =1 x 1 = 1

LCM(9628,9169) = ( 9628 × 9169 ) / 1

LCM(9628,9169) = 88279132 / 1

LCM(9628,9169) = 88279132


Lets's calculate GCF of 382,7512

2 382, 7512
191, 3756

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88279132/2

Therefore the LCM of Fractions 9628/382,9169/7512 is 44139566

Greatest Common Factor of 382,7512 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,7512 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 7512

List of positive integer factors of 7512 that divides 7512 without a remainder.

1,2,3,4,6,8,12,24,313,626,939,1252,1878,2504,3756,7512

Greatest Common Factor

We found the factors 382,7512 . The biggest common factor number is the GCF number.
So the greatest common factor 382,7512 is 2.


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 9628/382, 9169/7512

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 9628/382, 9169/7512?

Answer: LCM of Numerators as per given numbers 9628/382, 9169/7512 is

LCM of Numerators i.e. for 9628,9169 is 88279132

GCF of denominators i.e. for 382,7512 is 2.

Thus, LCM of Fractions is 44139566.Finally, LCM of Fractions for 9628/382, 9169/7512 is 44139566.