Least Common Multiple of 43/10, 55/21, 99/82, 28/369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/10, 55/21, 99/82, 28/369 quickly i.e. 595980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/10, 55/21, 99/82, 28/369 is 595980.

LCM(43/10, 55/21, 99/82, 28/369) = 595980

LCM of 43/10, 55/21, 99/82, 28/369

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 43/10,55/21,99/82,28/369

Given numbers are 43/10,55/21,99/82,28/369

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 43,55,99,28

Least Common Multiple of Numerators i.e. LCM of 43,55,99,28 is 595980.

GCF of Denominators means GCF of 10,21,82,369 as per the given fractions.

GCF of 10,21,82,369 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,55,99,28

LCM of Fractions 43/10,55/21,99/82,28/369 is 595980

11 43, 55, 99, 28
43, 5, 9, 28

∴ So the LCM of the given numbers is 11 x 43 x 5 x 9 x 28 = 595980

Least Common Multiple of 43,55,99,28 with GCF Formula

Least Common Multiple of 43,55,99,28 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 43,55,99,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,55,99,28) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(43,55,99,28) x common factors =1 x 11 = 11

LCM(43,55,99,28) = ( 43 × 55 × 99 × 28 ) / 11

LCM(43,55,99,28) = 6555780 / 11

LCM(43,55,99,28) = 595980


Lets's calculate GCF of 10,21,82,369

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 595980/1

Therefore the LCM of Fractions 43/10,55/21,99/82,28/369 is 595980

Greatest Common Factor of 10,21,82,369 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,21,82,369 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Greatest Common Factor

We found the factors 10,21,82,369 . The biggest common factor number is the GCF number.
So the greatest common factor 10,21,82,369 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 43/10, 55/21, 99/82, 28/369

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 43/10, 55/21, 99/82, 28/369?

Answer: LCM of Numerators as per given numbers 43/10, 55/21, 99/82, 28/369 is

LCM of Numerators i.e. for 43,55,99,28 is 595980

GCF of denominators i.e. for 10,21,82,369 is 1.

Thus, LCM of Fractions is 595980.Finally, LCM of Fractions for 43/10, 55/21, 99/82, 28/369 is 595980.