Least Common Multiple of 85/40, 66/63, 586/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/40, 66/63, 586/346 quickly i.e. 1643730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/40, 66/63, 586/346 is 1643730.

LCM(85/40, 66/63, 586/346) = 1643730

LCM of 85/40, 66/63, 586/346

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 85/40,66/63,586/346

Given numbers are 85/40,66/63,586/346

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 85,66,586

Least Common Multiple of Numerators i.e. LCM of 85,66,586 is 1643730.

GCF of Denominators means GCF of 40,63,346 as per the given fractions.

GCF of 40,63,346 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,66,586

LCM of Fractions 85/40,66/63,586/346 is 1643730

2 85, 66, 586
85, 33, 293

∴ So the LCM of the given numbers is 2 x 85 x 33 x 293 = 1643730

Least Common Multiple of 85,66,586 with GCF Formula

Least Common Multiple of 85,66,586 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 85,66,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,66,586) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(85,66,586) x common factors =1 x 2 = 2

LCM(85,66,586) = ( 85 × 66 × 586 ) / 2

LCM(85,66,586) = 3287460 / 2

LCM(85,66,586) = 1643730


Lets's calculate GCF of 40,63,346

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1643730/1

Therefore the LCM of Fractions 85/40,66/63,586/346 is 1643730

Greatest Common Factor of 40,63,346 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,63,346 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Greatest Common Factor

We found the factors 40,63,346 . The biggest common factor number is the GCF number.
So the greatest common factor 40,63,346 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 85/40, 66/63, 586/346

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 85/40, 66/63, 586/346?

Answer: LCM of Numerators as per given numbers 85/40, 66/63, 586/346 is

LCM of Numerators i.e. for 85,66,586 is 1643730

GCF of denominators i.e. for 40,63,346 is 1.

Thus, LCM of Fractions is 1643730.Finally, LCM of Fractions for 85/40, 66/63, 586/346 is 1643730.