Least Common Multiple of 43/521, 809/681, 414/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/521, 809/681, 414/398 quickly i.e. 14401818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/521, 809/681, 414/398 is 14401818.

LCM(43/521, 809/681, 414/398) = 14401818

LCM of 43/521, 809/681, 414/398

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 43/521,809/681,414/398

Given numbers are 43/521,809/681,414/398

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 43,809,414

Least Common Multiple of Numerators i.e. LCM of 43,809,414 is 14401818.

GCF of Denominators means GCF of 521,681,398 as per the given fractions.

GCF of 521,681,398 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,809,414

LCM of Fractions 43/521,809/681,414/398 is 14401818

Given numbers has no common factors except 1. So, there LCM is their product i.e 14401818

Least Common Multiple of 43,809,414 with GCF Formula

Least Common Multiple of 43,809,414 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 43,809,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,809,414) = 1

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

GCF(43,809,414) x common factors =1 x 1 = 1

LCM(43,809,414) = ( 43 × 809 × 414 ) / 1

LCM(43,809,414) = 14401818 / 1

LCM(43,809,414) = 14401818


Lets's calculate GCF of 521,681,398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14401818/1

Therefore the LCM of Fractions 43/521,809/681,414/398 is 14401818

Greatest Common Factor of 521,681,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 521,681,398 By Matching Biggest Common Factor Method

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 521,681,398 . The biggest common factor number is the GCF number.
So the greatest common factor 521,681,398 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 43/521, 809/681, 414/398

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 43/521, 809/681, 414/398?

Answer: LCM of Numerators as per given numbers 43/521, 809/681, 414/398 is

LCM of Numerators i.e. for 43,809,414 is 14401818

GCF of denominators i.e. for 521,681,398 is 1.

Thus, LCM of Fractions is 14401818.Finally, LCM of Fractions for 43/521, 809/681, 414/398 is 14401818.