Least Common Multiple of 15/796, 4224/5610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/796, 4224/5610 quickly i.e. 10560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/796, 4224/5610 is 10560.

LCM(15/796, 4224/5610) = 10560

LCM of 15/796, 4224/5610

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 15/796,4224/5610

Given numbers are 15/796,4224/5610

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 15,4224

Least Common Multiple of Numerators i.e. LCM of 15,4224 is 21120.

GCF of Denominators means GCF of 796,5610 as per the given fractions.

GCF of 796,5610 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,4224

LCM of Fractions 15/796,4224/5610 is 10560

3 15, 4224
5, 1408

∴ So the LCM of the given numbers is 3 x 5 x 1408 = 21120

Least Common Multiple of 15,4224 with GCF Formula

Least Common Multiple of 15,4224 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 15,4224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,4224) = 3

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

GCF(15,4224) x common factors =3 x 1 = 3

LCM(15,4224) = ( 15 × 4224 ) / 3

LCM(15,4224) = 63360 / 3

LCM(15,4224) = 21120


Lets's calculate GCF of 796,5610

2 796, 5610
398, 2805

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21120/2

Therefore the LCM of Fractions 15/796,4224/5610 is 10560

Greatest Common Factor of 796,5610 By Matching Biggest Common Factor Method

Greatest Common Factor of 796,5610 By Matching Biggest Common Factor Method

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Factors of 5610

List of positive integer factors of 5610 that divides 5610 without a remainder.

1,2,3,5,6,10,11,15,17,22,30,33,34,51,55,66,85,102,110,165,170,187,255,330,374,510,561,935,1122,1870,2805,5610

Greatest Common Factor

We found the factors 796,5610 . The biggest common factor number is the GCF number.
So the greatest common factor 796,5610 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 15/796, 4224/5610

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 15/796, 4224/5610?

Answer: LCM of Numerators as per given numbers 15/796, 4224/5610 is

LCM of Numerators i.e. for 15,4224 is 21120

GCF of denominators i.e. for 796,5610 is 2.

Thus, LCM of Fractions is 10560.Finally, LCM of Fractions for 15/796, 4224/5610 is 10560.