Least Common Multiple of 499/795, 1464/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 499/795, 1464/629 quickly i.e. 730536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 499/795, 1464/629 is 730536.

LCM(499/795, 1464/629) = 730536

LCM of 499/795, 1464/629

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 499/795,1464/629

Given numbers are 499/795,1464/629

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 499,1464

Least Common Multiple of Numerators i.e. LCM of 499,1464 is 730536.

GCF of Denominators means GCF of 795,629 as per the given fractions.

GCF of 795,629 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 499,1464

LCM of Fractions 499/795,1464/629 is 730536

Given numbers has no common factors except 1. So, there LCM is their product i.e 730536

Least Common Multiple of 499,1464 with GCF Formula

Least Common Multiple of 499,1464 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 499,1464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(499,1464) = 1

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

GCF(499,1464) x common factors =1 x 1 = 1

LCM(499,1464) = ( 499 × 1464 ) / 1

LCM(499,1464) = 730536 / 1

LCM(499,1464) = 730536


Lets's calculate GCF of 795,629

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 730536/1

Therefore the LCM of Fractions 499/795,1464/629 is 730536

Greatest Common Factor of 795,629 By Matching Biggest Common Factor Method

Greatest Common Factor of 795,629 By Matching Biggest Common Factor Method

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Greatest Common Factor

We found the factors 795,629 . The biggest common factor number is the GCF number.
So the greatest common factor 795,629 is 1.


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Frequently Asked Questions on Fractional LCM of 499/795, 1464/629

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 499/795, 1464/629?

Answer: LCM of Numerators as per given numbers 499/795, 1464/629 is

LCM of Numerators i.e. for 499,1464 is 730536

GCF of denominators i.e. for 795,629 is 1.

Thus, LCM of Fractions is 730536.Finally, LCM of Fractions for 499/795, 1464/629 is 730536.