Least Common Multiple of 5737/462, 1640/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5737/462, 1640/412 quickly i.e. 4704340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5737/462, 1640/412 is 4704340.

LCM(5737/462, 1640/412) = 4704340

LCM of 5737/462, 1640/412

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 5737/462,1640/412

Given numbers are 5737/462,1640/412

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 5737,1640

Least Common Multiple of Numerators i.e. LCM of 5737,1640 is 9408680.

GCF of Denominators means GCF of 462,412 as per the given fractions.

GCF of 462,412 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5737,1640

LCM of Fractions 5737/462,1640/412 is 4704340

Given numbers has no common factors except 1. So, there LCM is their product i.e 9408680

Least Common Multiple of 5737,1640 with GCF Formula

Least Common Multiple of 5737,1640 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 5737,1640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5737,1640) = 1

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

GCF(5737,1640) x common factors =1 x 1 = 1

LCM(5737,1640) = ( 5737 × 1640 ) / 1

LCM(5737,1640) = 9408680 / 1

LCM(5737,1640) = 9408680


Lets's calculate GCF of 462,412

2 462, 412
231, 206

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9408680/2

Therefore the LCM of Fractions 5737/462,1640/412 is 4704340

Greatest Common Factor of 462,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,412 By Matching Biggest Common Factor Method

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

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 462,412 . The biggest common factor number is the GCF number.
So the greatest common factor 462,412 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 5737/462, 1640/412

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 5737/462, 1640/412?

Answer: LCM of Numerators as per given numbers 5737/462, 1640/412 is

LCM of Numerators i.e. for 5737,1640 is 9408680

GCF of denominators i.e. for 462,412 is 2.

Thus, LCM of Fractions is 4704340.Finally, LCM of Fractions for 5737/462, 1640/412 is 4704340.