Least Common Multiple of 55/16, 819/72, 565/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/16, 819/72, 565/564 quickly i.e. 5090085/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/16, 819/72, 565/564 is 5090085/4.

LCM(55/16, 819/72, 565/564) = 5090085/4

LCM of 55/16, 819/72, 565/564

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 55/16,819/72,565/564

Given numbers are 55/16,819/72,565/564

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 55,819,565

Least Common Multiple of Numerators i.e. LCM of 55,819,565 is 5090085.

GCF of Denominators means GCF of 16,72,564 as per the given fractions.

GCF of 16,72,564 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,819,565

LCM of Fractions 55/16,819/72,565/564 is 5090085/4

5 55, 819, 565
11, 819, 113

∴ So the LCM of the given numbers is 5 x 11 x 819 x 113 = 5090085

Least Common Multiple of 55,819,565 with GCF Formula

Least Common Multiple of 55,819,565 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 55,819,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,819,565) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(55,819,565) x common factors =1 x 5 = 5

LCM(55,819,565) = ( 55 × 819 × 565 ) / 5

LCM(55,819,565) = 25450425 / 5

LCM(55,819,565) = 5090085


Lets's calculate GCF of 16,72,564

2 16, 72, 564
2 8, 36, 282
4, 18, 141

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5090085/4

Therefore the LCM of Fractions 55/16,819/72,565/564 is 5090085/4

Greatest Common Factor of 16,72,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,72,564 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 16,72,564 . The biggest common factor number is the GCF number.
So the greatest common factor 16,72,564 is 4.


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 55/16, 819/72, 565/564

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 55/16, 819/72, 565/564?

Answer: LCM of Numerators as per given numbers 55/16, 819/72, 565/564 is

LCM of Numerators i.e. for 55,819,565 is 5090085

GCF of denominators i.e. for 16,72,564 is 4.

Thus, LCM of Fractions is 5090085/4.Finally, LCM of Fractions for 55/16, 819/72, 565/564 is 5090085/4.