Least Common Multiple of 5973/221, 8732/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5973/221, 8732/689 quickly i.e. 52156236/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5973/221, 8732/689 is 52156236/13.

LCM(5973/221, 8732/689) = 52156236/13

LCM of 5973/221, 8732/689

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 5973/221,8732/689

Given numbers are 5973/221,8732/689

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 5973,8732

Least Common Multiple of Numerators i.e. LCM of 5973,8732 is 52156236.

GCF of Denominators means GCF of 221,689 as per the given fractions.

GCF of 221,689 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5973,8732

LCM of Fractions 5973/221,8732/689 is 52156236/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 52156236

Least Common Multiple of 5973,8732 with GCF Formula

Least Common Multiple of 5973,8732 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 5973,8732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5973,8732) = 1

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

GCF(5973,8732) x common factors =1 x 1 = 1

LCM(5973,8732) = ( 5973 × 8732 ) / 1

LCM(5973,8732) = 52156236 / 1

LCM(5973,8732) = 52156236


Lets's calculate GCF of 221,689

13 221, 689
17, 53

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52156236/13

Therefore the LCM of Fractions 5973/221,8732/689 is 52156236/13

Greatest Common Factor of 221,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 221,689 By Matching Biggest Common Factor Method

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors 221,689 . The biggest common factor number is the GCF number.
So the greatest common factor 221,689 is 13.


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 5973/221, 8732/689

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 5973/221, 8732/689?

Answer: LCM of Numerators as per given numbers 5973/221, 8732/689 is

LCM of Numerators i.e. for 5973,8732 is 52156236

GCF of denominators i.e. for 221,689 is 13.

Thus, LCM of Fractions is 52156236/13.Finally, LCM of Fractions for 5973/221, 8732/689 is 52156236/13.