Least Common Multiple of 9565/608, 6155/1159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9565/608, 6155/1159 quickly i.e. 11774515/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9565/608, 6155/1159 is 11774515/19.

LCM(9565/608, 6155/1159) = 11774515/19

LCM of 9565/608, 6155/1159

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 9565/608,6155/1159

Given numbers are 9565/608,6155/1159

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 9565,6155

Least Common Multiple of Numerators i.e. LCM of 9565,6155 is 11774515.

GCF of Denominators means GCF of 608,1159 as per the given fractions.

GCF of 608,1159 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9565,6155

LCM of Fractions 9565/608,6155/1159 is 11774515/19

5 9565, 6155
1913, 1231

∴ So the LCM of the given numbers is 5 x 1913 x 1231 = 11774515

Least Common Multiple of 9565,6155 with GCF Formula

Least Common Multiple of 9565,6155 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 9565,6155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9565,6155) = 5

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

GCF(9565,6155) x common factors =5 x 1 = 5

LCM(9565,6155) = ( 9565 × 6155 ) / 5

LCM(9565,6155) = 58872575 / 5

LCM(9565,6155) = 11774515


Lets's calculate GCF of 608,1159

19 608, 1159
32, 61

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11774515/19

Therefore the LCM of Fractions 9565/608,6155/1159 is 11774515/19

Greatest Common Factor of 608,1159 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,1159 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 1159

List of positive integer factors of 1159 that divides 1159 without a remainder.

1,19,61,1159

Greatest Common Factor

We found the factors 608,1159 . The biggest common factor number is the GCF number.
So the greatest common factor 608,1159 is 19.


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 9565/608, 6155/1159

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 9565/608, 6155/1159?

Answer: LCM of Numerators as per given numbers 9565/608, 6155/1159 is

LCM of Numerators i.e. for 9565,6155 is 11774515

GCF of denominators i.e. for 608,1159 is 19.

Thus, LCM of Fractions is 11774515/19.Finally, LCM of Fractions for 9565/608, 6155/1159 is 11774515/19.