Least Common Multiple of 20/896, 57/268, 401/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/896, 57/268, 401/462 quickly i.e. 228570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/896, 57/268, 401/462 is 228570.

LCM(20/896, 57/268, 401/462) = 228570

LCM of 20/896, 57/268, 401/462

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 20/896,57/268,401/462

Given numbers are 20/896,57/268,401/462

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 20,57,401

Least Common Multiple of Numerators i.e. LCM of 20,57,401 is 457140.

GCF of Denominators means GCF of 896,268,462 as per the given fractions.

GCF of 896,268,462 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,57,401

LCM of Fractions 20/896,57/268,401/462 is 228570

Given numbers has no common factors except 1. So, there LCM is their product i.e 457140

Least Common Multiple of 20,57,401 with GCF Formula

Least Common Multiple of 20,57,401 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 20,57,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,57,401) = 1

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

GCF(20,57,401) x common factors =1 x 1 = 1

LCM(20,57,401) = ( 20 × 57 × 401 ) / 1

LCM(20,57,401) = 457140 / 1

LCM(20,57,401) = 457140


Lets's calculate GCF of 896,268,462

2 896, 268, 462
448, 134, 231

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 457140/2

Therefore the LCM of Fractions 20/896,57/268,401/462 is 228570

Greatest Common Factor of 896,268,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,268,462 By Matching Biggest Common Factor Method

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 896,268,462 . The biggest common factor number is the GCF number.
So the greatest common factor 896,268,462 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 20/896, 57/268, 401/462

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 20/896, 57/268, 401/462?

Answer: LCM of Numerators as per given numbers 20/896, 57/268, 401/462 is

LCM of Numerators i.e. for 20,57,401 is 457140

GCF of denominators i.e. for 896,268,462 is 2.

Thus, LCM of Fractions is 228570.Finally, LCM of Fractions for 20/896, 57/268, 401/462 is 228570.