Least Common Multiple of 1392/224, 7517/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1392/224, 7517/824 quickly i.e. 1307958 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1392/224, 7517/824 is 1307958.

LCM(1392/224, 7517/824) = 1307958

LCM of 1392/224, 7517/824

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 1392/224,7517/824

Given numbers are 1392/224,7517/824

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 1392,7517

Least Common Multiple of Numerators i.e. LCM of 1392,7517 is 10463664.

GCF of Denominators means GCF of 224,824 as per the given fractions.

GCF of 224,824 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1392,7517

LCM of Fractions 1392/224,7517/824 is 1307958

Given numbers has no common factors except 1. So, there LCM is their product i.e 10463664

Least Common Multiple of 1392,7517 with GCF Formula

Least Common Multiple of 1392,7517 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 1392,7517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1392,7517) = 1

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

GCF(1392,7517) x common factors =1 x 1 = 1

LCM(1392,7517) = ( 1392 × 7517 ) / 1

LCM(1392,7517) = 10463664 / 1

LCM(1392,7517) = 10463664


Lets's calculate GCF of 224,824

2 224, 824
2 112, 412
2 56, 206
28, 103

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10463664/8

Therefore the LCM of Fractions 1392/224,7517/824 is 1307958

Greatest Common Factor of 224,824 By Matching Biggest Common Factor Method

Greatest Common Factor of 224,824 By Matching Biggest Common Factor Method

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

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Greatest Common Factor

We found the factors 224,824 . The biggest common factor number is the GCF number.
So the greatest common factor 224,824 is 8.


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 1392/224, 7517/824

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 1392/224, 7517/824?

Answer: LCM of Numerators as per given numbers 1392/224, 7517/824 is

LCM of Numerators i.e. for 1392,7517 is 10463664

GCF of denominators i.e. for 224,824 is 8.

Thus, LCM of Fractions is 1307958.Finally, LCM of Fractions for 1392/224, 7517/824 is 1307958.