Least Common Multiple of 55/47, 17/27, 73/72, 72/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/47, 17/27, 73/72, 72/715 quickly i.e. 4914360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/47, 17/27, 73/72, 72/715 is 4914360.

LCM(55/47, 17/27, 73/72, 72/715) = 4914360

LCM of 55/47, 17/27, 73/72, 72/715

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 55/47,17/27,73/72,72/715

Given numbers are 55/47,17/27,73/72,72/715

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 55,17,73,72

Least Common Multiple of Numerators i.e. LCM of 55,17,73,72 is 4914360.

GCF of Denominators means GCF of 47,27,72,715 as per the given fractions.

GCF of 47,27,72,715 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,17,73,72

LCM of Fractions 55/47,17/27,73/72,72/715 is 4914360

Given numbers has no common factors except 1. So, there LCM is their product i.e 4914360

Least Common Multiple of 55,17,73,72 with GCF Formula

Least Common Multiple of 55,17,73,72 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 55,17,73,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,17,73,72) = 1

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

GCF(55,17,73,72) x common factors =1 x 1 = 1

LCM(55,17,73,72) = ( 55 × 17 × 73 × 72 ) / 1

LCM(55,17,73,72) = 4914360 / 1

LCM(55,17,73,72) = 4914360


Lets's calculate GCF of 47,27,72,715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4914360/1

Therefore the LCM of Fractions 55/47,17/27,73/72,72/715 is 4914360

Greatest Common Factor of 47,27,72,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,27,72,715 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

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 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 47,27,72,715 . The biggest common factor number is the GCF number.
So the greatest common factor 47,27,72,715 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 55/47, 17/27, 73/72, 72/715

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 55/47, 17/27, 73/72, 72/715?

Answer: LCM of Numerators as per given numbers 55/47, 17/27, 73/72, 72/715 is

LCM of Numerators i.e. for 55,17,73,72 is 4914360

GCF of denominators i.e. for 47,27,72,715 is 1.

Thus, LCM of Fractions is 4914360.Finally, LCM of Fractions for 55/47, 17/27, 73/72, 72/715 is 4914360.