Least Common Multiple of 481/74, 2014/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 481/74, 2014/458 quickly i.e. 484367 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 481/74, 2014/458 is 484367.

LCM(481/74, 2014/458) = 484367

LCM of 481/74, 2014/458

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 481/74,2014/458

Given numbers are 481/74,2014/458

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 481,2014

Least Common Multiple of Numerators i.e. LCM of 481,2014 is 968734.

GCF of Denominators means GCF of 74,458 as per the given fractions.

GCF of 74,458 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 481,2014

LCM of Fractions 481/74,2014/458 is 484367

Given numbers has no common factors except 1. So, there LCM is their product i.e 968734

Least Common Multiple of 481,2014 with GCF Formula

Least Common Multiple of 481,2014 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 481,2014 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(481,2014) = 1

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

GCF(481,2014) x common factors =1 x 1 = 1

LCM(481,2014) = ( 481 × 2014 ) / 1

LCM(481,2014) = 968734 / 1

LCM(481,2014) = 968734


Lets's calculate GCF of 74,458

2 74, 458
37, 229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 968734/2

Therefore the LCM of Fractions 481/74,2014/458 is 484367

Greatest Common Factor of 74,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,458 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 74,458 . The biggest common factor number is the GCF number.
So the greatest common factor 74,458 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 481/74, 2014/458

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 481/74, 2014/458?

Answer: LCM of Numerators as per given numbers 481/74, 2014/458 is

LCM of Numerators i.e. for 481,2014 is 968734

GCF of denominators i.e. for 74,458 is 2.

Thus, LCM of Fractions is 484367.Finally, LCM of Fractions for 481/74, 2014/458 is 484367.