Least Common Multiple of 9/312, 38/759, 89/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/312, 38/759, 89/682 quickly i.e. 30438 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/312, 38/759, 89/682 is 30438.

LCM(9/312, 38/759, 89/682) = 30438

LCM of 9/312, 38/759, 89/682

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 9/312,38/759,89/682

Given numbers are 9/312,38/759,89/682

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 9,38,89

Least Common Multiple of Numerators i.e. LCM of 9,38,89 is 30438.

GCF of Denominators means GCF of 312,759,682 as per the given fractions.

GCF of 312,759,682 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,38,89

LCM of Fractions 9/312,38/759,89/682 is 30438

Given numbers has no common factors except 1. So, there LCM is their product i.e 30438

Least Common Multiple of 9,38,89 with GCF Formula

Least Common Multiple of 9,38,89 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 9,38,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,38,89) = 1

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

GCF(9,38,89) x common factors =1 x 1 = 1

LCM(9,38,89) = ( 9 × 38 × 89 ) / 1

LCM(9,38,89) = 30438 / 1

LCM(9,38,89) = 30438


Lets's calculate GCF of 312,759,682

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30438/1

Therefore the LCM of Fractions 9/312,38/759,89/682 is 30438

Greatest Common Factor of 312,759,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,759,682 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 312,759,682 . The biggest common factor number is the GCF number.
So the greatest common factor 312,759,682 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 9/312, 38/759, 89/682

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 9/312, 38/759, 89/682?

Answer: LCM of Numerators as per given numbers 9/312, 38/759, 89/682 is

LCM of Numerators i.e. for 9,38,89 is 30438

GCF of denominators i.e. for 312,759,682 is 1.

Thus, LCM of Fractions is 30438.Finally, LCM of Fractions for 9/312, 38/759, 89/682 is 30438.