Least Common Multiple of 312/22, 352/80, 689/835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/22, 352/80, 689/835 quickly i.e. 727584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/22, 352/80, 689/835 is 727584.

LCM(312/22, 352/80, 689/835) = 727584

LCM of 312/22, 352/80, 689/835

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 312/22,352/80,689/835

Given numbers are 312/22,352/80,689/835

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 312,352,689

Least Common Multiple of Numerators i.e. LCM of 312,352,689 is 727584.

GCF of Denominators means GCF of 22,80,835 as per the given fractions.

GCF of 22,80,835 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,352,689

LCM of Fractions 312/22,352/80,689/835 is 727584

2 312, 352, 689
2 156, 176, 689
2 78, 88, 689
13 39, 44, 689
3, 44, 53

∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 3 x 44 x 53 = 727584

Least Common Multiple of 312,352,689 with GCF Formula

Least Common Multiple of 312,352,689 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 312,352,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,352,689) = 1

common factors(in case of two or more numbers have common factors) = 104

GCF(312,352,689) x common factors =1 x 104 = 104

LCM(312,352,689) = ( 312 × 352 × 689 ) / 104

LCM(312,352,689) = 75668736 / 104

LCM(312,352,689) = 727584


Lets's calculate GCF of 22,80,835

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 727584/1

Therefore the LCM of Fractions 312/22,352/80,689/835 is 727584

Greatest Common Factor of 22,80,835 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,80,835 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

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 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Greatest Common Factor

We found the factors 22,80,835 . The biggest common factor number is the GCF number.
So the greatest common factor 22,80,835 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 312/22, 352/80, 689/835

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 312/22, 352/80, 689/835?

Answer: LCM of Numerators as per given numbers 312/22, 352/80, 689/835 is

LCM of Numerators i.e. for 312,352,689 is 727584

GCF of denominators i.e. for 22,80,835 is 1.

Thus, LCM of Fractions is 727584.Finally, LCM of Fractions for 312/22, 352/80, 689/835 is 727584.