Least Common Multiple of 229/256, 7636/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 229/256, 7636/798 quickly i.e. 874322 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 229/256, 7636/798 is 874322.

LCM(229/256, 7636/798) = 874322

LCM of 229/256, 7636/798

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 229/256,7636/798

Given numbers are 229/256,7636/798

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 229,7636

Least Common Multiple of Numerators i.e. LCM of 229,7636 is 1748644.

GCF of Denominators means GCF of 256,798 as per the given fractions.

GCF of 256,798 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 229,7636

LCM of Fractions 229/256,7636/798 is 874322

Given numbers has no common factors except 1. So, there LCM is their product i.e 1748644

Least Common Multiple of 229,7636 with GCF Formula

Least Common Multiple of 229,7636 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 229,7636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(229,7636) = 1

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

GCF(229,7636) x common factors =1 x 1 = 1

LCM(229,7636) = ( 229 × 7636 ) / 1

LCM(229,7636) = 1748644 / 1

LCM(229,7636) = 1748644


Lets's calculate GCF of 256,798

2 256, 798
128, 399

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1748644/2

Therefore the LCM of Fractions 229/256,7636/798 is 874322

Greatest Common Factor of 256,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 256,798 By Matching Biggest Common Factor Method

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 256,798 . The biggest common factor number is the GCF number.
So the greatest common factor 256,798 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 229/256, 7636/798

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 229/256, 7636/798?

Answer: LCM of Numerators as per given numbers 229/256, 7636/798 is

LCM of Numerators i.e. for 229,7636 is 1748644

GCF of denominators i.e. for 256,798 is 2.

Thus, LCM of Fractions is 874322.Finally, LCM of Fractions for 229/256, 7636/798 is 874322.