Least Common Multiple of 1603/559, 7016/6097

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1603/559, 7016/6097 quickly i.e. 11246648/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1603/559, 7016/6097 is 11246648/13.

LCM(1603/559, 7016/6097) = 11246648/13

LCM of 1603/559, 7016/6097

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 1603/559,7016/6097

Given numbers are 1603/559,7016/6097

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 1603,7016

Least Common Multiple of Numerators i.e. LCM of 1603,7016 is 11246648.

GCF of Denominators means GCF of 559,6097 as per the given fractions.

GCF of 559,6097 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1603,7016

LCM of Fractions 1603/559,7016/6097 is 11246648/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 11246648

Least Common Multiple of 1603,7016 with GCF Formula

Least Common Multiple of 1603,7016 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 1603,7016 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1603,7016) = 1

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

GCF(1603,7016) x common factors =1 x 1 = 1

LCM(1603,7016) = ( 1603 × 7016 ) / 1

LCM(1603,7016) = 11246648 / 1

LCM(1603,7016) = 11246648


Lets's calculate GCF of 559,6097

13 559, 6097
43, 469

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11246648/13

Therefore the LCM of Fractions 1603/559,7016/6097 is 11246648/13

Greatest Common Factor of 559,6097 By Matching Biggest Common Factor Method

Greatest Common Factor of 559,6097 By Matching Biggest Common Factor Method

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Factors of 6097

List of positive integer factors of 6097 that divides 6097 without a remainder.

1,7,13,67,91,469,871,6097

Greatest Common Factor

We found the factors 559,6097 . The biggest common factor number is the GCF number.
So the greatest common factor 559,6097 is 13.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1603/559, 7016/6097

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 1603/559, 7016/6097?

Answer: LCM of Numerators as per given numbers 1603/559, 7016/6097 is

LCM of Numerators i.e. for 1603,7016 is 11246648

GCF of denominators i.e. for 559,6097 is 13.

Thus, LCM of Fractions is 11246648/13.Finally, LCM of Fractions for 1603/559, 7016/6097 is 11246648/13.