Least Common Multiple of 53/61, 72/49, 73/12, 52/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/61, 72/49, 73/12, 52/224 quickly i.e. 3621384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/61, 72/49, 73/12, 52/224 is 3621384.

LCM(53/61, 72/49, 73/12, 52/224) = 3621384

LCM of 53/61, 72/49, 73/12, 52/224

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 53/61,72/49,73/12,52/224

Given numbers are 53/61,72/49,73/12,52/224

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 53,72,73,52

Least Common Multiple of Numerators i.e. LCM of 53,72,73,52 is 3621384.

GCF of Denominators means GCF of 61,49,12,224 as per the given fractions.

GCF of 61,49,12,224 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,72,73,52

LCM of Fractions 53/61,72/49,73/12,52/224 is 3621384

2 53, 72, 73, 52
2 53, 36, 73, 26
53, 18, 73, 13

∴ So the LCM of the given numbers is 2 x 2 x 53 x 18 x 73 x 13 = 3621384

Least Common Multiple of 53,72,73,52 with GCF Formula

Least Common Multiple of 53,72,73,52 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 53,72,73,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,72,73,52) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(53,72,73,52) x common factors =1 x 4 = 4

LCM(53,72,73,52) = ( 53 × 72 × 73 × 52 ) / 4

LCM(53,72,73,52) = 14485536 / 4

LCM(53,72,73,52) = 3621384


Lets's calculate GCF of 61,49,12,224

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3621384/1

Therefore the LCM of Fractions 53/61,72/49,73/12,52/224 is 3621384

Greatest Common Factor of 61,49,12,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,49,12,224 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

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 61,49,12,224 . The biggest common factor number is the GCF number.
So the greatest common factor 61,49,12,224 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 53/61, 72/49, 73/12, 52/224

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 53/61, 72/49, 73/12, 52/224?

Answer: LCM of Numerators as per given numbers 53/61, 72/49, 73/12, 52/224 is

LCM of Numerators i.e. for 53,72,73,52 is 3621384

GCF of denominators i.e. for 61,49,12,224 is 1.

Thus, LCM of Fractions is 3621384.Finally, LCM of Fractions for 53/61, 72/49, 73/12, 52/224 is 3621384.