Least Common Multiple of 451/466, 3013/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 451/466, 3013/380 quickly i.e. 1358863/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 451/466, 3013/380 is 1358863/2.

LCM(451/466, 3013/380) = 1358863/2

LCM of 451/466, 3013/380

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 451/466,3013/380

Given numbers are 451/466,3013/380

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 451,3013

Least Common Multiple of Numerators i.e. LCM of 451,3013 is 1358863.

GCF of Denominators means GCF of 466,380 as per the given fractions.

GCF of 466,380 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 451,3013

LCM of Fractions 451/466,3013/380 is 1358863/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1358863

Least Common Multiple of 451,3013 with GCF Formula

Least Common Multiple of 451,3013 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 451,3013 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(451,3013) = 1

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

GCF(451,3013) x common factors =1 x 1 = 1

LCM(451,3013) = ( 451 × 3013 ) / 1

LCM(451,3013) = 1358863 / 1

LCM(451,3013) = 1358863


Lets's calculate GCF of 466,380

2 466, 380
233, 190

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1358863/2

Therefore the LCM of Fractions 451/466,3013/380 is 1358863/2

Greatest Common Factor of 466,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,380 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 466,380 . The biggest common factor number is the GCF number.
So the greatest common factor 466,380 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 451/466, 3013/380

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 451/466, 3013/380?

Answer: LCM of Numerators as per given numbers 451/466, 3013/380 is

LCM of Numerators i.e. for 451,3013 is 1358863

GCF of denominators i.e. for 466,380 is 2.

Thus, LCM of Fractions is 1358863/2.Finally, LCM of Fractions for 451/466, 3013/380 is 1358863/2.