Least Common Multiple of 89/84, 31/54, 34/815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/84, 31/54, 34/815 quickly i.e. 93806 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/84, 31/54, 34/815 is 93806.

LCM(89/84, 31/54, 34/815) = 93806

LCM of 89/84, 31/54, 34/815

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 89/84,31/54,34/815

Given numbers are 89/84,31/54,34/815

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 89,31,34

Least Common Multiple of Numerators i.e. LCM of 89,31,34 is 93806.

GCF of Denominators means GCF of 84,54,815 as per the given fractions.

GCF of 84,54,815 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,31,34

LCM of Fractions 89/84,31/54,34/815 is 93806

Given numbers has no common factors except 1. So, there LCM is their product i.e 93806

Least Common Multiple of 89,31,34 with GCF Formula

Least Common Multiple of 89,31,34 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 89,31,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,31,34) = 1

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

GCF(89,31,34) x common factors =1 x 1 = 1

LCM(89,31,34) = ( 89 × 31 × 34 ) / 1

LCM(89,31,34) = 93806 / 1

LCM(89,31,34) = 93806


Lets's calculate GCF of 84,54,815

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93806/1

Therefore the LCM of Fractions 89/84,31/54,34/815 is 93806

Greatest Common Factor of 84,54,815 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,54,815 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

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 84,54,815 . The biggest common factor number is the GCF number.
So the greatest common factor 84,54,815 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 89/84, 31/54, 34/815

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 89/84, 31/54, 34/815?

Answer: LCM of Numerators as per given numbers 89/84, 31/54, 34/815 is

LCM of Numerators i.e. for 89,31,34 is 93806

GCF of denominators i.e. for 84,54,815 is 1.

Thus, LCM of Fractions is 93806.Finally, LCM of Fractions for 89/84, 31/54, 34/815 is 93806.