Least Common Multiple of 45/388, 66/981, 270/573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/388, 66/981, 270/573 quickly i.e. 2970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/388, 66/981, 270/573 is 2970.

LCM(45/388, 66/981, 270/573) = 2970

LCM of 45/388, 66/981, 270/573

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 45/388,66/981,270/573

Given numbers are 45/388,66/981,270/573

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 45,66,270

Least Common Multiple of Numerators i.e. LCM of 45,66,270 is 2970.

GCF of Denominators means GCF of 388,981,573 as per the given fractions.

GCF of 388,981,573 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,66,270

LCM of Fractions 45/388,66/981,270/573 is 2970

2 45, 66, 270
3 45, 33, 135
3 15, 11, 45
5 5, 11, 15
1, 11, 3

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 11 x 3 = 2970

Least Common Multiple of 45,66,270 with GCF Formula

Least Common Multiple of 45,66,270 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 45,66,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,66,270) = 3

common factors(in case of two or more numbers have common factors) = 90

GCF(45,66,270) x common factors =3 x 90 = 270

LCM(45,66,270) = ( 45 × 66 × 270 ) / 270

LCM(45,66,270) = 801900 / 270

LCM(45,66,270) = 2970


Lets's calculate GCF of 388,981,573

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2970/1

Therefore the LCM of Fractions 45/388,66/981,270/573 is 2970

Greatest Common Factor of 388,981,573 By Matching Biggest Common Factor Method

Greatest Common Factor of 388,981,573 By Matching Biggest Common Factor Method

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Greatest Common Factor

We found the factors 388,981,573 . The biggest common factor number is the GCF number.
So the greatest common factor 388,981,573 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 45/388, 66/981, 270/573

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 45/388, 66/981, 270/573?

Answer: LCM of Numerators as per given numbers 45/388, 66/981, 270/573 is

LCM of Numerators i.e. for 45,66,270 is 2970

GCF of denominators i.e. for 388,981,573 is 1.

Thus, LCM of Fractions is 2970.Finally, LCM of Fractions for 45/388, 66/981, 270/573 is 2970.