Least Common Multiple of 89/13, 347/69, 986/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/13, 347/69, 986/922 quickly i.e. 30450638 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/13, 347/69, 986/922 is 30450638.

LCM(89/13, 347/69, 986/922) = 30450638

LCM of 89/13, 347/69, 986/922

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 89/13,347/69,986/922

Given numbers are 89/13,347/69,986/922

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 89,347,986

Least Common Multiple of Numerators i.e. LCM of 89,347,986 is 30450638.

GCF of Denominators means GCF of 13,69,922 as per the given fractions.

GCF of 13,69,922 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,347,986

LCM of Fractions 89/13,347/69,986/922 is 30450638

Given numbers has no common factors except 1. So, there LCM is their product i.e 30450638

Least Common Multiple of 89,347,986 with GCF Formula

Least Common Multiple of 89,347,986 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 89,347,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,347,986) = 1

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

GCF(89,347,986) x common factors =1 x 1 = 1

LCM(89,347,986) = ( 89 × 347 × 986 ) / 1

LCM(89,347,986) = 30450638 / 1

LCM(89,347,986) = 30450638


Lets's calculate GCF of 13,69,922

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30450638/1

Therefore the LCM of Fractions 89/13,347/69,986/922 is 30450638

Greatest Common Factor of 13,69,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,69,922 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 13,69,922 . The biggest common factor number is the GCF number.
So the greatest common factor 13,69,922 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 89/13, 347/69, 986/922

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 89/13, 347/69, 986/922?

Answer: LCM of Numerators as per given numbers 89/13, 347/69, 986/922 is

LCM of Numerators i.e. for 89,347,986 is 30450638

GCF of denominators i.e. for 13,69,922 is 1.

Thus, LCM of Fractions is 30450638.Finally, LCM of Fractions for 89/13, 347/69, 986/922 is 30450638.