Least Common Multiple of 17/621, 5003/7636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/621, 5003/7636 quickly i.e. 85051/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/621, 5003/7636 is 85051/23.

LCM(17/621, 5003/7636) = 85051/23

LCM of 17/621, 5003/7636

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 17/621,5003/7636

Given numbers are 17/621,5003/7636

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 17,5003

Least Common Multiple of Numerators i.e. LCM of 17,5003 is 85051.

GCF of Denominators means GCF of 621,7636 as per the given fractions.

GCF of 621,7636 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,5003

LCM of Fractions 17/621,5003/7636 is 85051/23

Given numbers has no common factors except 1. So, there LCM is their product i.e 85051

Least Common Multiple of 17,5003 with GCF Formula

Least Common Multiple of 17,5003 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 17,5003 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,5003) = 1

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

GCF(17,5003) x common factors =1 x 1 = 1

LCM(17,5003) = ( 17 × 5003 ) / 1

LCM(17,5003) = 85051 / 1

LCM(17,5003) = 85051


Lets's calculate GCF of 621,7636

23 621, 7636
27, 332

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85051/23

Therefore the LCM of Fractions 17/621,5003/7636 is 85051/23

Greatest Common Factor of 621,7636 By Matching Biggest Common Factor Method

Greatest Common Factor of 621,7636 By Matching Biggest Common Factor Method

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Factors of 7636

List of positive integer factors of 7636 that divides 7636 without a remainder.

1,2,4,23,46,83,92,166,332,1909,3818,7636

Greatest Common Factor

We found the factors 621,7636 . The biggest common factor number is the GCF number.
So the greatest common factor 621,7636 is 23.


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 17/621, 5003/7636

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 17/621, 5003/7636?

Answer: LCM of Numerators as per given numbers 17/621, 5003/7636 is

LCM of Numerators i.e. for 17,5003 is 85051

GCF of denominators i.e. for 621,7636 is 23.

Thus, LCM of Fractions is 85051/23.Finally, LCM of Fractions for 17/621, 5003/7636 is 85051/23.