Least Common Multiple of 220/33, 169/5689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 220/33, 169/5689 quickly i.e. 37180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 220/33, 169/5689 is 37180.

LCM(220/33, 169/5689) = 37180

LCM of 220/33, 169/5689

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 220/33,169/5689

Given numbers are 220/33,169/5689

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 220,169

Least Common Multiple of Numerators i.e. LCM of 220,169 is 37180.

GCF of Denominators means GCF of 33,5689 as per the given fractions.

GCF of 33,5689 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 220,169

LCM of Fractions 220/33,169/5689 is 37180

Given numbers has no common factors except 1. So, there LCM is their product i.e 37180

Least Common Multiple of 220,169 with GCF Formula

Least Common Multiple of 220,169 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 220,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,169) = 1

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

GCF(220,169) x common factors =1 x 1 = 1

LCM(220,169) = ( 220 × 169 ) / 1

LCM(220,169) = 37180 / 1

LCM(220,169) = 37180


Lets's calculate GCF of 33,5689

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37180/1

Therefore the LCM of Fractions 220/33,169/5689 is 37180

Greatest Common Factor of 33,5689 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,5689 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 5689

List of positive integer factors of 5689 that divides 5689 without a remainder.

1,5689

Greatest Common Factor

We found the factors 33,5689 . The biggest common factor number is the GCF number.
So the greatest common factor 33,5689 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 220/33, 169/5689

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 220/33, 169/5689?

Answer: LCM of Numerators as per given numbers 220/33, 169/5689 is

LCM of Numerators i.e. for 220,169 is 37180

GCF of denominators i.e. for 33,5689 is 1.

Thus, LCM of Fractions is 37180.Finally, LCM of Fractions for 220/33, 169/5689 is 37180.