Least Common Multiple of 340/16, 347/10, 285/581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 340/16, 347/10, 285/581 quickly i.e. 6724860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 340/16, 347/10, 285/581 is 6724860.

LCM(340/16, 347/10, 285/581) = 6724860

LCM of 340/16, 347/10, 285/581

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 340/16,347/10,285/581

Given numbers are 340/16,347/10,285/581

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 340,347,285

Least Common Multiple of Numerators i.e. LCM of 340,347,285 is 6724860.

GCF of Denominators means GCF of 16,10,581 as per the given fractions.

GCF of 16,10,581 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 340,347,285

LCM of Fractions 340/16,347/10,285/581 is 6724860

5 340, 347, 285
68, 347, 57

∴ So the LCM of the given numbers is 5 x 68 x 347 x 57 = 6724860

Least Common Multiple of 340,347,285 with GCF Formula

Least Common Multiple of 340,347,285 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 340,347,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,347,285) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(340,347,285) x common factors =1 x 5 = 5

LCM(340,347,285) = ( 340 × 347 × 285 ) / 5

LCM(340,347,285) = 33624300 / 5

LCM(340,347,285) = 6724860


Lets's calculate GCF of 16,10,581

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6724860/1

Therefore the LCM of Fractions 340/16,347/10,285/581 is 6724860

Greatest Common Factor of 16,10,581 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,10,581 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Greatest Common Factor

We found the factors 16,10,581 . The biggest common factor number is the GCF number.
So the greatest common factor 16,10,581 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 340/16, 347/10, 285/581

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 340/16, 347/10, 285/581?

Answer: LCM of Numerators as per given numbers 340/16, 347/10, 285/581 is

LCM of Numerators i.e. for 340,347,285 is 6724860

GCF of denominators i.e. for 16,10,581 is 1.

Thus, LCM of Fractions is 6724860.Finally, LCM of Fractions for 340/16, 347/10, 285/581 is 6724860.