Least Common Multiple of 28/497, 288/100, 401/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/497, 288/100, 401/748 quickly i.e. 808416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/497, 288/100, 401/748 is 808416.

LCM(28/497, 288/100, 401/748) = 808416

LCM of 28/497, 288/100, 401/748

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 28/497,288/100,401/748

Given numbers are 28/497,288/100,401/748

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 28,288,401

Least Common Multiple of Numerators i.e. LCM of 28,288,401 is 808416.

GCF of Denominators means GCF of 497,100,748 as per the given fractions.

GCF of 497,100,748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,288,401

LCM of Fractions 28/497,288/100,401/748 is 808416

2 28, 288, 401
2 14, 144, 401
7, 72, 401

∴ So the LCM of the given numbers is 2 x 2 x 7 x 72 x 401 = 808416

Least Common Multiple of 28,288,401 with GCF Formula

Least Common Multiple of 28,288,401 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 28,288,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,288,401) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(28,288,401) x common factors =1 x 4 = 4

LCM(28,288,401) = ( 28 × 288 × 401 ) / 4

LCM(28,288,401) = 3233664 / 4

LCM(28,288,401) = 808416


Lets's calculate GCF of 497,100,748

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 808416/1

Therefore the LCM of Fractions 28/497,288/100,401/748 is 808416

Greatest Common Factor of 497,100,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 497,100,748 By Matching Biggest Common Factor Method

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 497,100,748 . The biggest common factor number is the GCF number.
So the greatest common factor 497,100,748 is 1.


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 28/497, 288/100, 401/748

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 28/497, 288/100, 401/748?

Answer: LCM of Numerators as per given numbers 28/497, 288/100, 401/748 is

LCM of Numerators i.e. for 28,288,401 is 808416

GCF of denominators i.e. for 497,100,748 is 1.

Thus, LCM of Fractions is 808416.Finally, LCM of Fractions for 28/497, 288/100, 401/748 is 808416.