Least Common Multiple of 15/728, 92/186, 924/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/728, 92/186, 924/224 quickly i.e. 53130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/728, 92/186, 924/224 is 53130.

LCM(15/728, 92/186, 924/224) = 53130

LCM of 15/728, 92/186, 924/224

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 15/728,92/186,924/224

Given numbers are 15/728,92/186,924/224

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 15,92,924

Least Common Multiple of Numerators i.e. LCM of 15,92,924 is 106260.

GCF of Denominators means GCF of 728,186,224 as per the given fractions.

GCF of 728,186,224 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,92,924

LCM of Fractions 15/728,92/186,924/224 is 53130

2 15, 92, 924
2 15, 46, 462
3 15, 23, 231
5, 23, 77

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 23 x 77 = 106260

Least Common Multiple of 15,92,924 with GCF Formula

Least Common Multiple of 15,92,924 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 15,92,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,92,924) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(15,92,924) x common factors =1 x 12 = 12

LCM(15,92,924) = ( 15 × 92 × 924 ) / 12

LCM(15,92,924) = 1275120 / 12

LCM(15,92,924) = 106260


Lets's calculate GCF of 728,186,224

2 728, 186, 224
364, 93, 112

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106260/2

Therefore the LCM of Fractions 15/728,92/186,924/224 is 53130

Greatest Common Factor of 728,186,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,186,224 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

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 728,186,224 . The biggest common factor number is the GCF number.
So the greatest common factor 728,186,224 is 2.


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 15/728, 92/186, 924/224

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 15/728, 92/186, 924/224?

Answer: LCM of Numerators as per given numbers 15/728, 92/186, 924/224 is

LCM of Numerators i.e. for 15,92,924 is 106260

GCF of denominators i.e. for 728,186,224 is 2.

Thus, LCM of Fractions is 53130.Finally, LCM of Fractions for 15/728, 92/186, 924/224 is 53130.