Least Common Multiple of 647/498, 8398/6351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 647/498, 8398/6351 quickly i.e. 5433506/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 647/498, 8398/6351 is 5433506/3.

LCM(647/498, 8398/6351) = 5433506/3

LCM of 647/498, 8398/6351

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 647/498,8398/6351

Given numbers are 647/498,8398/6351

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 647,8398

Least Common Multiple of Numerators i.e. LCM of 647,8398 is 5433506.

GCF of Denominators means GCF of 498,6351 as per the given fractions.

GCF of 498,6351 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 647,8398

LCM of Fractions 647/498,8398/6351 is 5433506/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 5433506

Least Common Multiple of 647,8398 with GCF Formula

Least Common Multiple of 647,8398 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 647,8398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(647,8398) = 1

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

GCF(647,8398) x common factors =1 x 1 = 1

LCM(647,8398) = ( 647 × 8398 ) / 1

LCM(647,8398) = 5433506 / 1

LCM(647,8398) = 5433506


Lets's calculate GCF of 498,6351

3 498, 6351
166, 2117

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5433506/3

Therefore the LCM of Fractions 647/498,8398/6351 is 5433506/3

Greatest Common Factor of 498,6351 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,6351 By Matching Biggest Common Factor Method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 6351

List of positive integer factors of 6351 that divides 6351 without a remainder.

1,3,29,73,87,219,2117,6351

Greatest Common Factor

We found the factors 498,6351 . The biggest common factor number is the GCF number.
So the greatest common factor 498,6351 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 647/498, 8398/6351

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 647/498, 8398/6351?

Answer: LCM of Numerators as per given numbers 647/498, 8398/6351 is

LCM of Numerators i.e. for 647,8398 is 5433506

GCF of denominators i.e. for 498,6351 is 3.

Thus, LCM of Fractions is 5433506/3.Finally, LCM of Fractions for 647/498, 8398/6351 is 5433506/3.