Least Common Multiple of 9956/170, 7623/2385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9956/170, 7623/2385 quickly i.e. 75894588/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9956/170, 7623/2385 is 75894588/5.

LCM(9956/170, 7623/2385) = 75894588/5

LCM of 9956/170, 7623/2385

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 9956/170,7623/2385

Given numbers are 9956/170,7623/2385

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 9956,7623

Least Common Multiple of Numerators i.e. LCM of 9956,7623 is 75894588.

GCF of Denominators means GCF of 170,2385 as per the given fractions.

GCF of 170,2385 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9956,7623

LCM of Fractions 9956/170,7623/2385 is 75894588/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 75894588

Least Common Multiple of 9956,7623 with GCF Formula

Least Common Multiple of 9956,7623 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 9956,7623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9956,7623) = 1

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

GCF(9956,7623) x common factors =1 x 1 = 1

LCM(9956,7623) = ( 9956 × 7623 ) / 1

LCM(9956,7623) = 75894588 / 1

LCM(9956,7623) = 75894588


Lets's calculate GCF of 170,2385

5 170, 2385
34, 477

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75894588/5

Therefore the LCM of Fractions 9956/170,7623/2385 is 75894588/5

Greatest Common Factor of 170,2385 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,2385 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 2385

List of positive integer factors of 2385 that divides 2385 without a remainder.

1,3,5,9,15,45,53,159,265,477,795,2385

Greatest Common Factor

We found the factors 170,2385 . The biggest common factor number is the GCF number.
So the greatest common factor 170,2385 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 9956/170, 7623/2385

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 9956/170, 7623/2385?

Answer: LCM of Numerators as per given numbers 9956/170, 7623/2385 is

LCM of Numerators i.e. for 9956,7623 is 75894588

GCF of denominators i.e. for 170,2385 is 5.

Thus, LCM of Fractions is 75894588/5.Finally, LCM of Fractions for 9956/170, 7623/2385 is 75894588/5.