Least Common Multiple of 466/414, 1583/5375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 466/414, 1583/5375 quickly i.e. 737678 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 466/414, 1583/5375 is 737678.

LCM(466/414, 1583/5375) = 737678

LCM of 466/414, 1583/5375

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 466/414,1583/5375

Given numbers are 466/414,1583/5375

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 466,1583

Least Common Multiple of Numerators i.e. LCM of 466,1583 is 737678.

GCF of Denominators means GCF of 414,5375 as per the given fractions.

GCF of 414,5375 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 466,1583

LCM of Fractions 466/414,1583/5375 is 737678

Given numbers has no common factors except 1. So, there LCM is their product i.e 737678

Least Common Multiple of 466,1583 with GCF Formula

Least Common Multiple of 466,1583 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 466,1583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,1583) = 1

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

GCF(466,1583) x common factors =1 x 1 = 1

LCM(466,1583) = ( 466 × 1583 ) / 1

LCM(466,1583) = 737678 / 1

LCM(466,1583) = 737678


Lets's calculate GCF of 414,5375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 737678/1

Therefore the LCM of Fractions 466/414,1583/5375 is 737678

Greatest Common Factor of 414,5375 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,5375 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 5375

List of positive integer factors of 5375 that divides 5375 without a remainder.

1,5,25,43,125,215,1075,5375

Greatest Common Factor

We found the factors 414,5375 . The biggest common factor number is the GCF number.
So the greatest common factor 414,5375 is 1.


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 466/414, 1583/5375

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 466/414, 1583/5375?

Answer: LCM of Numerators as per given numbers 466/414, 1583/5375 is

LCM of Numerators i.e. for 466,1583 is 737678

GCF of denominators i.e. for 414,5375 is 1.

Thus, LCM of Fractions is 737678.Finally, LCM of Fractions for 466/414, 1583/5375 is 737678.