Least Common Multiple of 283/728, 7911/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 283/728, 7911/252 quickly i.e. 2238813/28 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 283/728, 7911/252 is 2238813/28.

LCM(283/728, 7911/252) = 2238813/28

LCM of 283/728, 7911/252

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 283/728,7911/252

Given numbers are 283/728,7911/252

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 283,7911

Least Common Multiple of Numerators i.e. LCM of 283,7911 is 2238813.

GCF of Denominators means GCF of 728,252 as per the given fractions.

GCF of 728,252 is 28 as it is the largest common factor for these numbers.

Lets's calculate LCM of 283,7911

LCM of Fractions 283/728,7911/252 is 2238813/28

Given numbers has no common factors except 1. So, there LCM is their product i.e 2238813

Least Common Multiple of 283,7911 with GCF Formula

Least Common Multiple of 283,7911 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 283,7911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(283,7911) = 1

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

GCF(283,7911) x common factors =1 x 1 = 1

LCM(283,7911) = ( 283 × 7911 ) / 1

LCM(283,7911) = 2238813 / 1

LCM(283,7911) = 2238813


Lets's calculate GCF of 728,252

2 728, 252
2 364, 126
7 182, 63
26, 9

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2238813/28

Therefore the LCM of Fractions 283/728,7911/252 is 2238813/28

Greatest Common Factor of 728,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,252 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 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 728,252 . The biggest common factor number is the GCF number.
So the greatest common factor 728,252 is 28.


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 283/728, 7911/252

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 283/728, 7911/252?

Answer: LCM of Numerators as per given numbers 283/728, 7911/252 is

LCM of Numerators i.e. for 283,7911 is 2238813

GCF of denominators i.e. for 728,252 is 28.

Thus, LCM of Fractions is 2238813/28.Finally, LCM of Fractions for 283/728, 7911/252 is 2238813/28.