Least Common Multiple of 502/465, 410/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 502/465, 410/768 quickly i.e. 102910/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 502/465, 410/768 is 102910/3.

LCM(502/465, 410/768) = 102910/3

LCM of 502/465, 410/768

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 502/465,410/768

Given numbers are 502/465,410/768

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 502,410

Least Common Multiple of Numerators i.e. LCM of 502,410 is 102910.

GCF of Denominators means GCF of 465,768 as per the given fractions.

GCF of 465,768 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 502,410

LCM of Fractions 502/465,410/768 is 102910/3

2 502, 410
251, 205

∴ So the LCM of the given numbers is 2 x 251 x 205 = 102910

Least Common Multiple of 502,410 with GCF Formula

Least Common Multiple of 502,410 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 502,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,410) = 2

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

GCF(502,410) x common factors =2 x 1 = 2

LCM(502,410) = ( 502 × 410 ) / 2

LCM(502,410) = 205820 / 2

LCM(502,410) = 102910


Lets's calculate GCF of 465,768

3 465, 768
155, 256

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102910/3

Therefore the LCM of Fractions 502/465,410/768 is 102910/3

Greatest Common Factor of 465,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,768 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 465,768 . The biggest common factor number is the GCF number.
So the greatest common factor 465,768 is 3.


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 502/465, 410/768

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 502/465, 410/768?

Answer: LCM of Numerators as per given numbers 502/465, 410/768 is

LCM of Numerators i.e. for 502,410 is 102910

GCF of denominators i.e. for 465,768 is 3.

Thus, LCM of Fractions is 102910/3.Finally, LCM of Fractions for 502/465, 410/768 is 102910/3.