Least Common Multiple of 21/85, 53/80, 28/45, 55/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/85, 53/80, 28/45, 55/390 quickly i.e. 48972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/85, 53/80, 28/45, 55/390 is 48972.

LCM(21/85, 53/80, 28/45, 55/390) = 48972

LCM of 21/85, 53/80, 28/45, 55/390

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 21/85,53/80,28/45,55/390

Given numbers are 21/85,53/80,28/45,55/390

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 21,53,28,55

Least Common Multiple of Numerators i.e. LCM of 21,53,28,55 is 244860.

GCF of Denominators means GCF of 85,80,45,390 as per the given fractions.

GCF of 85,80,45,390 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,53,28,55

LCM of Fractions 21/85,53/80,28/45,55/390 is 48972

7 21, 53, 28, 55
3, 53, 4, 55

∴ So the LCM of the given numbers is 7 x 3 x 53 x 4 x 55 = 244860

Least Common Multiple of 21,53,28,55 with GCF Formula

Least Common Multiple of 21,53,28,55 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 21,53,28,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,53,28,55) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(21,53,28,55) x common factors =1 x 7 = 7

LCM(21,53,28,55) = ( 21 × 53 × 28 × 55 ) / 7

LCM(21,53,28,55) = 1714020 / 7

LCM(21,53,28,55) = 244860


Lets's calculate GCF of 85,80,45,390

5 85, 80, 45, 390
17, 16, 9, 78

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 244860/5

Therefore the LCM of Fractions 21/85,53/80,28/45,55/390 is 48972

Greatest Common Factor of 85,80,45,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,80,45,390 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 85,80,45,390 . The biggest common factor number is the GCF number.
So the greatest common factor 85,80,45,390 is 5.


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 21/85, 53/80, 28/45, 55/390

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 21/85, 53/80, 28/45, 55/390?

Answer: LCM of Numerators as per given numbers 21/85, 53/80, 28/45, 55/390 is

LCM of Numerators i.e. for 21,53,28,55 is 244860

GCF of denominators i.e. for 85,80,45,390 is 5.

Thus, LCM of Fractions is 48972.Finally, LCM of Fractions for 21/85, 53/80, 28/45, 55/390 is 48972.