Least Common Multiple of 64/71, 55/18, 56/74, 30/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/71, 55/18, 56/74, 30/224 quickly i.e. 73920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/71, 55/18, 56/74, 30/224 is 73920.

LCM(64/71, 55/18, 56/74, 30/224) = 73920

LCM of 64/71, 55/18, 56/74, 30/224

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 64/71,55/18,56/74,30/224

Given numbers are 64/71,55/18,56/74,30/224

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 64,55,56,30

Least Common Multiple of Numerators i.e. LCM of 64,55,56,30 is 73920.

GCF of Denominators means GCF of 71,18,74,224 as per the given fractions.

GCF of 71,18,74,224 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,55,56,30

LCM of Fractions 64/71,55/18,56/74,30/224 is 73920

2 64, 55, 56, 30
2 32, 55, 28, 15
2 16, 55, 14, 15
5 8, 55, 7, 15
8, 11, 7, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 8 x 11 x 7 x 3 = 73920

Least Common Multiple of 64,55,56,30 with GCF Formula

Least Common Multiple of 64,55,56,30 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 64,55,56,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,55,56,30) = 1

common factors(in case of two or more numbers have common factors) = 80

GCF(64,55,56,30) x common factors =1 x 80 = 80

LCM(64,55,56,30) = ( 64 × 55 × 56 × 30 ) / 80

LCM(64,55,56,30) = 5913600 / 80

LCM(64,55,56,30) = 73920


Lets's calculate GCF of 71,18,74,224

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73920/1

Therefore the LCM of Fractions 64/71,55/18,56/74,30/224 is 73920

Greatest Common Factor of 71,18,74,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,18,74,224 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Greatest Common Factor

We found the factors 71,18,74,224 . The biggest common factor number is the GCF number.
So the greatest common factor 71,18,74,224 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 64/71, 55/18, 56/74, 30/224

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 64/71, 55/18, 56/74, 30/224?

Answer: LCM of Numerators as per given numbers 64/71, 55/18, 56/74, 30/224 is

LCM of Numerators i.e. for 64,55,56,30 is 73920

GCF of denominators i.e. for 71,18,74,224 is 1.

Thus, LCM of Fractions is 73920.Finally, LCM of Fractions for 64/71, 55/18, 56/74, 30/224 is 73920.