Least Common Multiple of 8027/46, 2088/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8027/46, 2088/414 quickly i.e. 364356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8027/46, 2088/414 is 364356.

LCM(8027/46, 2088/414) = 364356

LCM of 8027/46, 2088/414

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 8027/46,2088/414

Given numbers are 8027/46,2088/414

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 8027,2088

Least Common Multiple of Numerators i.e. LCM of 8027,2088 is 16760376.

GCF of Denominators means GCF of 46,414 as per the given fractions.

GCF of 46,414 is 46 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8027,2088

LCM of Fractions 8027/46,2088/414 is 364356

Given numbers has no common factors except 1. So, there LCM is their product i.e 16760376

Least Common Multiple of 8027,2088 with GCF Formula

Least Common Multiple of 8027,2088 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 8027,2088 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8027,2088) = 1

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

GCF(8027,2088) x common factors =1 x 1 = 1

LCM(8027,2088) = ( 8027 × 2088 ) / 1

LCM(8027,2088) = 16760376 / 1

LCM(8027,2088) = 16760376


Lets's calculate GCF of 46,414

2 46, 414
23 23, 207
1, 9

∴ So the GCF of the given numbers is 2 x 23 = 46

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16760376/46

Therefore the LCM of Fractions 8027/46,2088/414 is 364356

Greatest Common Factor of 46,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,414 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

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

Greatest Common Factor

We found the factors 46,414 . The biggest common factor number is the GCF number.
So the greatest common factor 46,414 is 46.


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 8027/46, 2088/414

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 8027/46, 2088/414?

Answer: LCM of Numerators as per given numbers 8027/46, 2088/414 is

LCM of Numerators i.e. for 8027,2088 is 16760376

GCF of denominators i.e. for 46,414 is 46.

Thus, LCM of Fractions is 364356.Finally, LCM of Fractions for 8027/46, 2088/414 is 364356.