Least Common Multiple of 1663/724, 6514/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1663/724, 6514/654 quickly i.e. 5416391 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1663/724, 6514/654 is 5416391.

LCM(1663/724, 6514/654) = 5416391

LCM of 1663/724, 6514/654

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 1663/724,6514/654

Given numbers are 1663/724,6514/654

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 1663,6514

Least Common Multiple of Numerators i.e. LCM of 1663,6514 is 10832782.

GCF of Denominators means GCF of 724,654 as per the given fractions.

GCF of 724,654 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1663,6514

LCM of Fractions 1663/724,6514/654 is 5416391

Given numbers has no common factors except 1. So, there LCM is their product i.e 10832782

Least Common Multiple of 1663,6514 with GCF Formula

Least Common Multiple of 1663,6514 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 1663,6514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1663,6514) = 1

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

GCF(1663,6514) x common factors =1 x 1 = 1

LCM(1663,6514) = ( 1663 × 6514 ) / 1

LCM(1663,6514) = 10832782 / 1

LCM(1663,6514) = 10832782


Lets's calculate GCF of 724,654

2 724, 654
362, 327

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10832782/2

Therefore the LCM of Fractions 1663/724,6514/654 is 5416391

Greatest Common Factor of 724,654 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,654 By Matching Biggest Common Factor Method

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Greatest Common Factor

We found the factors 724,654 . The biggest common factor number is the GCF number.
So the greatest common factor 724,654 is 2.


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 1663/724, 6514/654

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 1663/724, 6514/654?

Answer: LCM of Numerators as per given numbers 1663/724, 6514/654 is

LCM of Numerators i.e. for 1663,6514 is 10832782

GCF of denominators i.e. for 724,654 is 2.

Thus, LCM of Fractions is 5416391.Finally, LCM of Fractions for 1663/724, 6514/654 is 5416391.