Least Common Multiple of 1980/69, 2199/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1980/69, 2199/332 quickly i.e. 1451340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1980/69, 2199/332 is 1451340.

LCM(1980/69, 2199/332) = 1451340

LCM of 1980/69, 2199/332

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 1980/69,2199/332

Given numbers are 1980/69,2199/332

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 1980,2199

Least Common Multiple of Numerators i.e. LCM of 1980,2199 is 1451340.

GCF of Denominators means GCF of 69,332 as per the given fractions.

GCF of 69,332 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1980,2199

LCM of Fractions 1980/69,2199/332 is 1451340

3 1980, 2199
660, 733

∴ So the LCM of the given numbers is 3 x 660 x 733 = 1451340

Least Common Multiple of 1980,2199 with GCF Formula

Least Common Multiple of 1980,2199 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 1980,2199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1980,2199) = 3

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

GCF(1980,2199) x common factors =3 x 1 = 3

LCM(1980,2199) = ( 1980 × 2199 ) / 3

LCM(1980,2199) = 4354020 / 3

LCM(1980,2199) = 1451340


Lets's calculate GCF of 69,332

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1451340/1

Therefore the LCM of Fractions 1980/69,2199/332 is 1451340

Greatest Common Factor of 69,332 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,332 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Greatest Common Factor

We found the factors 69,332 . The biggest common factor number is the GCF number.
So the greatest common factor 69,332 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 1980/69, 2199/332

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 1980/69, 2199/332?

Answer: LCM of Numerators as per given numbers 1980/69, 2199/332 is

LCM of Numerators i.e. for 1980,2199 is 1451340

GCF of denominators i.e. for 69,332 is 1.

Thus, LCM of Fractions is 1451340.Finally, LCM of Fractions for 1980/69, 2199/332 is 1451340.