Least Common Multiple of 45/608, 8755/2396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/608, 8755/2396 quickly i.e. 78795/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/608, 8755/2396 is 78795/4.

LCM(45/608, 8755/2396) = 78795/4

LCM of 45/608, 8755/2396

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 45/608,8755/2396

Given numbers are 45/608,8755/2396

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 45,8755

Least Common Multiple of Numerators i.e. LCM of 45,8755 is 78795.

GCF of Denominators means GCF of 608,2396 as per the given fractions.

GCF of 608,2396 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,8755

LCM of Fractions 45/608,8755/2396 is 78795/4

5 45, 8755
9, 1751

∴ So the LCM of the given numbers is 5 x 9 x 1751 = 78795

Least Common Multiple of 45,8755 with GCF Formula

Least Common Multiple of 45,8755 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 45,8755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,8755) = 5

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

GCF(45,8755) x common factors =5 x 1 = 5

LCM(45,8755) = ( 45 × 8755 ) / 5

LCM(45,8755) = 393975 / 5

LCM(45,8755) = 78795


Lets's calculate GCF of 608,2396

2 608, 2396
2 304, 1198
152, 599

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78795/4

Therefore the LCM of Fractions 45/608,8755/2396 is 78795/4

Greatest Common Factor of 608,2396 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,2396 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 2396

List of positive integer factors of 2396 that divides 2396 without a remainder.

1,2,4,599,1198,2396

Greatest Common Factor

We found the factors 608,2396 . The biggest common factor number is the GCF number.
So the greatest common factor 608,2396 is 4.


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 45/608, 8755/2396

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 45/608, 8755/2396?

Answer: LCM of Numerators as per given numbers 45/608, 8755/2396 is

LCM of Numerators i.e. for 45,8755 is 78795

GCF of denominators i.e. for 608,2396 is 4.

Thus, LCM of Fractions is 78795/4.Finally, LCM of Fractions for 45/608, 8755/2396 is 78795/4.