Least Common Multiple of 462/413, 9425/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 462/413, 9425/580 quickly i.e. 4354350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 462/413, 9425/580 is 4354350.

LCM(462/413, 9425/580) = 4354350

LCM of 462/413, 9425/580

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 462/413,9425/580

Given numbers are 462/413,9425/580

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 462,9425

Least Common Multiple of Numerators i.e. LCM of 462,9425 is 4354350.

GCF of Denominators means GCF of 413,580 as per the given fractions.

GCF of 413,580 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 462,9425

LCM of Fractions 462/413,9425/580 is 4354350

Given numbers has no common factors except 1. So, there LCM is their product i.e 4354350

Least Common Multiple of 462,9425 with GCF Formula

Least Common Multiple of 462,9425 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 462,9425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,9425) = 1

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

GCF(462,9425) x common factors =1 x 1 = 1

LCM(462,9425) = ( 462 × 9425 ) / 1

LCM(462,9425) = 4354350 / 1

LCM(462,9425) = 4354350


Lets's calculate GCF of 413,580

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4354350/1

Therefore the LCM of Fractions 462/413,9425/580 is 4354350

Greatest Common Factor of 413,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 413,580 By Matching Biggest Common Factor Method

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 413,580 . The biggest common factor number is the GCF number.
So the greatest common factor 413,580 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 462/413, 9425/580

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 462/413, 9425/580?

Answer: LCM of Numerators as per given numbers 462/413, 9425/580 is

LCM of Numerators i.e. for 462,9425 is 4354350

GCF of denominators i.e. for 413,580 is 1.

Thus, LCM of Fractions is 4354350.Finally, LCM of Fractions for 462/413, 9425/580 is 4354350.