Least Common Multiple of 1617/443, 1689/9975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1617/443, 1689/9975 quickly i.e. 910371 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1617/443, 1689/9975 is 910371.

LCM(1617/443, 1689/9975) = 910371

LCM of 1617/443, 1689/9975

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 1617/443,1689/9975

Given numbers are 1617/443,1689/9975

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 1617,1689

Least Common Multiple of Numerators i.e. LCM of 1617,1689 is 910371.

GCF of Denominators means GCF of 443,9975 as per the given fractions.

GCF of 443,9975 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1617,1689

LCM of Fractions 1617/443,1689/9975 is 910371

3 1617, 1689
539, 563

∴ So the LCM of the given numbers is 3 x 539 x 563 = 910371

Least Common Multiple of 1617,1689 with GCF Formula

Least Common Multiple of 1617,1689 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 1617,1689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1617,1689) = 3

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

GCF(1617,1689) x common factors =3 x 1 = 3

LCM(1617,1689) = ( 1617 × 1689 ) / 3

LCM(1617,1689) = 2731113 / 3

LCM(1617,1689) = 910371


Lets's calculate GCF of 443,9975

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 910371/1

Therefore the LCM of Fractions 1617/443,1689/9975 is 910371

Greatest Common Factor of 443,9975 By Matching Biggest Common Factor Method

Greatest Common Factor of 443,9975 By Matching Biggest Common Factor Method

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Factors of 9975

List of positive integer factors of 9975 that divides 9975 without a remainder.

1,3,5,7,15,19,21,25,35,57,75,95,105,133,175,285,399,475,525,665,1425,1995,3325,9975

Greatest Common Factor

We found the factors 443,9975 . The biggest common factor number is the GCF number.
So the greatest common factor 443,9975 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 1617/443, 1689/9975

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 1617/443, 1689/9975?

Answer: LCM of Numerators as per given numbers 1617/443, 1689/9975 is

LCM of Numerators i.e. for 1617,1689 is 910371

GCF of denominators i.e. for 443,9975 is 1.

Thus, LCM of Fractions is 910371.Finally, LCM of Fractions for 1617/443, 1689/9975 is 910371.