Least Common Multiple of 815/524, 1076/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 815/524, 1076/896 quickly i.e. 219235 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 815/524, 1076/896 is 219235.

LCM(815/524, 1076/896) = 219235

LCM of 815/524, 1076/896

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 815/524,1076/896

Given numbers are 815/524,1076/896

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 815,1076

Least Common Multiple of Numerators i.e. LCM of 815,1076 is 876940.

GCF of Denominators means GCF of 524,896 as per the given fractions.

GCF of 524,896 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 815,1076

LCM of Fractions 815/524,1076/896 is 219235

Given numbers has no common factors except 1. So, there LCM is their product i.e 876940

Least Common Multiple of 815,1076 with GCF Formula

Least Common Multiple of 815,1076 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 815,1076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(815,1076) = 1

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

GCF(815,1076) x common factors =1 x 1 = 1

LCM(815,1076) = ( 815 × 1076 ) / 1

LCM(815,1076) = 876940 / 1

LCM(815,1076) = 876940


Lets's calculate GCF of 524,896

2 524, 896
2 262, 448
131, 224

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 876940/4

Therefore the LCM of Fractions 815/524,1076/896 is 219235

Greatest Common Factor of 524,896 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,896 By Matching Biggest Common Factor Method

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Greatest Common Factor

We found the factors 524,896 . The biggest common factor number is the GCF number.
So the greatest common factor 524,896 is 4.


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 815/524, 1076/896

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 815/524, 1076/896?

Answer: LCM of Numerators as per given numbers 815/524, 1076/896 is

LCM of Numerators i.e. for 815,1076 is 876940

GCF of denominators i.e. for 524,896 is 4.

Thus, LCM of Fractions is 219235.Finally, LCM of Fractions for 815/524, 1076/896 is 219235.