Least Common Multiple of 671/89, 414/80, 900/815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 671/89, 414/80, 900/815 quickly i.e. 13889700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 671/89, 414/80, 900/815 is 13889700.

LCM(671/89, 414/80, 900/815) = 13889700

LCM of 671/89, 414/80, 900/815

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 671/89,414/80,900/815

Given numbers are 671/89,414/80,900/815

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 671,414,900

Least Common Multiple of Numerators i.e. LCM of 671,414,900 is 13889700.

GCF of Denominators means GCF of 89,80,815 as per the given fractions.

GCF of 89,80,815 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 671,414,900

LCM of Fractions 671/89,414/80,900/815 is 13889700

2 671, 414, 900
3 671, 207, 450
3 671, 69, 150
671, 23, 50

∴ So the LCM of the given numbers is 2 x 3 x 3 x 671 x 23 x 50 = 13889700

Least Common Multiple of 671,414,900 with GCF Formula

Least Common Multiple of 671,414,900 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 671,414,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(671,414,900) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(671,414,900) x common factors =1 x 18 = 18

LCM(671,414,900) = ( 671 × 414 × 900 ) / 18

LCM(671,414,900) = 250014600 / 18

LCM(671,414,900) = 13889700


Lets's calculate GCF of 89,80,815

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13889700/1

Therefore the LCM of Fractions 671/89,414/80,900/815 is 13889700

Greatest Common Factor of 89,80,815 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,80,815 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Greatest Common Factor

We found the factors 89,80,815 . The biggest common factor number is the GCF number.
So the greatest common factor 89,80,815 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 671/89, 414/80, 900/815

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 671/89, 414/80, 900/815?

Answer: LCM of Numerators as per given numbers 671/89, 414/80, 900/815 is

LCM of Numerators i.e. for 671,414,900 is 13889700

GCF of denominators i.e. for 89,80,815 is 1.

Thus, LCM of Fractions is 13889700.Finally, LCM of Fractions for 671/89, 414/80, 900/815 is 13889700.