Least Common Multiple of 203/459, 6917/5143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 203/459, 6917/5143 quickly i.e. 1404151 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 203/459, 6917/5143 is 1404151.

LCM(203/459, 6917/5143) = 1404151

LCM of 203/459, 6917/5143

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 203/459,6917/5143

Given numbers are 203/459,6917/5143

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 203,6917

Least Common Multiple of Numerators i.e. LCM of 203,6917 is 1404151.

GCF of Denominators means GCF of 459,5143 as per the given fractions.

GCF of 459,5143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 203,6917

LCM of Fractions 203/459,6917/5143 is 1404151

Given numbers has no common factors except 1. So, there LCM is their product i.e 1404151

Least Common Multiple of 203,6917 with GCF Formula

Least Common Multiple of 203,6917 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 203,6917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(203,6917) = 1

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

GCF(203,6917) x common factors =1 x 1 = 1

LCM(203,6917) = ( 203 × 6917 ) / 1

LCM(203,6917) = 1404151 / 1

LCM(203,6917) = 1404151


Lets's calculate GCF of 459,5143

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1404151/1

Therefore the LCM of Fractions 203/459,6917/5143 is 1404151

Greatest Common Factor of 459,5143 By Matching Biggest Common Factor Method

Greatest Common Factor of 459,5143 By Matching Biggest Common Factor Method

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 5143

List of positive integer factors of 5143 that divides 5143 without a remainder.

1,37,139,5143

Greatest Common Factor

We found the factors 459,5143 . The biggest common factor number is the GCF number.
So the greatest common factor 459,5143 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 203/459, 6917/5143

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 203/459, 6917/5143?

Answer: LCM of Numerators as per given numbers 203/459, 6917/5143 is

LCM of Numerators i.e. for 203,6917 is 1404151

GCF of denominators i.e. for 459,5143 is 1.

Thus, LCM of Fractions is 1404151.Finally, LCM of Fractions for 203/459, 6917/5143 is 1404151.