Least Common Multiple of 2506/517, 3383/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2506/517, 3383/465 quickly i.e. 8477798 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2506/517, 3383/465 is 8477798.

LCM(2506/517, 3383/465) = 8477798

LCM of 2506/517, 3383/465

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 2506/517,3383/465

Given numbers are 2506/517,3383/465

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 2506,3383

Least Common Multiple of Numerators i.e. LCM of 2506,3383 is 8477798.

GCF of Denominators means GCF of 517,465 as per the given fractions.

GCF of 517,465 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2506,3383

LCM of Fractions 2506/517,3383/465 is 8477798

Given numbers has no common factors except 1. So, there LCM is their product i.e 8477798

Least Common Multiple of 2506,3383 with GCF Formula

Least Common Multiple of 2506,3383 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 2506,3383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2506,3383) = 1

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

GCF(2506,3383) x common factors =1 x 1 = 1

LCM(2506,3383) = ( 2506 × 3383 ) / 1

LCM(2506,3383) = 8477798 / 1

LCM(2506,3383) = 8477798


Lets's calculate GCF of 517,465

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8477798/1

Therefore the LCM of Fractions 2506/517,3383/465 is 8477798

Greatest Common Factor of 517,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 517,465 By Matching Biggest Common Factor Method

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 465

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

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

Greatest Common Factor

We found the factors 517,465 . The biggest common factor number is the GCF number.
So the greatest common factor 517,465 is 1.


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 2506/517, 3383/465

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 2506/517, 3383/465?

Answer: LCM of Numerators as per given numbers 2506/517, 3383/465 is

LCM of Numerators i.e. for 2506,3383 is 8477798

GCF of denominators i.e. for 517,465 is 1.

Thus, LCM of Fractions is 8477798.Finally, LCM of Fractions for 2506/517, 3383/465 is 8477798.