Least Common Multiple of 57/477, 596/900, 381/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/477, 596/900, 381/105 quickly i.e. 1438148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/477, 596/900, 381/105 is 1438148.

LCM(57/477, 596/900, 381/105) = 1438148

LCM of 57/477, 596/900, 381/105

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 57/477,596/900,381/105

Given numbers are 57/477,596/900,381/105

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 57,596,381

Least Common Multiple of Numerators i.e. LCM of 57,596,381 is 4314444.

GCF of Denominators means GCF of 477,900,105 as per the given fractions.

GCF of 477,900,105 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,596,381

LCM of Fractions 57/477,596/900,381/105 is 1438148

3 57, 596, 381
19, 596, 127

∴ So the LCM of the given numbers is 3 x 19 x 596 x 127 = 4314444

Least Common Multiple of 57,596,381 with GCF Formula

Least Common Multiple of 57,596,381 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 57,596,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,596,381) = 1

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

GCF(57,596,381) x common factors =1 x 3 = 3

LCM(57,596,381) = ( 57 × 596 × 381 ) / 3

LCM(57,596,381) = 12943332 / 3

LCM(57,596,381) = 4314444


Lets's calculate GCF of 477,900,105

3 477, 900, 105
159, 300, 35

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4314444/3

Therefore the LCM of Fractions 57/477,596/900,381/105 is 1438148

Greatest Common Factor of 477,900,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 477,900,105 By Matching Biggest Common Factor Method

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 477,900,105 . The biggest common factor number is the GCF number.
So the greatest common factor 477,900,105 is 3.


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 57/477, 596/900, 381/105

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 57/477, 596/900, 381/105?

Answer: LCM of Numerators as per given numbers 57/477, 596/900, 381/105 is

LCM of Numerators i.e. for 57,596,381 is 4314444

GCF of denominators i.e. for 477,900,105 is 3.

Thus, LCM of Fractions is 1438148.Finally, LCM of Fractions for 57/477, 596/900, 381/105 is 1438148.