Least Common Multiple of 57/40, 363/84, 229/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/40, 363/84, 229/796 quickly i.e. 1579413/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/40, 363/84, 229/796 is 1579413/4.

LCM(57/40, 363/84, 229/796) = 1579413/4

LCM of 57/40, 363/84, 229/796

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 57/40,363/84,229/796

Given numbers are 57/40,363/84,229/796

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 57,363,229

Least Common Multiple of Numerators i.e. LCM of 57,363,229 is 1579413.

GCF of Denominators means GCF of 40,84,796 as per the given fractions.

GCF of 40,84,796 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,363,229

LCM of Fractions 57/40,363/84,229/796 is 1579413/4

3 57, 363, 229
19, 121, 229

∴ So the LCM of the given numbers is 3 x 19 x 121 x 229 = 1579413

Least Common Multiple of 57,363,229 with GCF Formula

Least Common Multiple of 57,363,229 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 57,363,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,363,229) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(57,363,229) x common factors =1 x 3 = 3

LCM(57,363,229) = ( 57 × 363 × 229 ) / 3

LCM(57,363,229) = 4738239 / 3

LCM(57,363,229) = 1579413


Lets's calculate GCF of 40,84,796

2 40, 84, 796
2 20, 42, 398
10, 21, 199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1579413/4

Therefore the LCM of Fractions 57/40,363/84,229/796 is 1579413/4

Greatest Common Factor of 40,84,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,84,796 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 40,84,796 . The biggest common factor number is the GCF number.
So the greatest common factor 40,84,796 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 57/40, 363/84, 229/796

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 57/40, 363/84, 229/796?

Answer: LCM of Numerators as per given numbers 57/40, 363/84, 229/796 is

LCM of Numerators i.e. for 57,363,229 is 1579413

GCF of denominators i.e. for 40,84,796 is 4.

Thus, LCM of Fractions is 1579413/4.Finally, LCM of Fractions for 57/40, 363/84, 229/796 is 1579413/4.