Least Common Multiple of 493/310, 796/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 493/310, 796/640 quickly i.e. 392428/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 493/310, 796/640 is 392428/10.

LCM(493/310, 796/640) = 392428/10

LCM of 493/310, 796/640

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 493/310,796/640

Given numbers are 493/310,796/640

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 493,796

Least Common Multiple of Numerators i.e. LCM of 493,796 is 392428.

GCF of Denominators means GCF of 310,640 as per the given fractions.

GCF of 310,640 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 493,796

LCM of Fractions 493/310,796/640 is 392428/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 392428

Least Common Multiple of 493,796 with GCF Formula

Least Common Multiple of 493,796 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 493,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,796) = 1

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

GCF(493,796) x common factors =1 x 1 = 1

LCM(493,796) = ( 493 × 796 ) / 1

LCM(493,796) = 392428 / 1

LCM(493,796) = 392428


Lets's calculate GCF of 310,640

2 310, 640
5 155, 320
31, 64

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 392428/10

Therefore the LCM of Fractions 493/310,796/640 is 392428/10

Greatest Common Factor of 310,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,640 By Matching Biggest Common Factor Method

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 310,640 . The biggest common factor number is the GCF number.
So the greatest common factor 310,640 is 10.


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 493/310, 796/640

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 493/310, 796/640?

Answer: LCM of Numerators as per given numbers 493/310, 796/640 is

LCM of Numerators i.e. for 493,796 is 392428

GCF of denominators i.e. for 310,640 is 10.

Thus, LCM of Fractions is 392428/10.Finally, LCM of Fractions for 493/310, 796/640 is 392428/10.