Least Common Multiple of 46/85, 345/83, 311/569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/85, 345/83, 311/569 quickly i.e. 214590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/85, 345/83, 311/569 is 214590.

LCM(46/85, 345/83, 311/569) = 214590

LCM of 46/85, 345/83, 311/569

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 46/85,345/83,311/569

Given numbers are 46/85,345/83,311/569

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 46,345,311

Least Common Multiple of Numerators i.e. LCM of 46,345,311 is 214590.

GCF of Denominators means GCF of 85,83,569 as per the given fractions.

GCF of 85,83,569 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,345,311

LCM of Fractions 46/85,345/83,311/569 is 214590

23 46, 345, 311
2, 15, 311

∴ So the LCM of the given numbers is 23 x 2 x 15 x 311 = 214590

Least Common Multiple of 46,345,311 with GCF Formula

Least Common Multiple of 46,345,311 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 46,345,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,345,311) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(46,345,311) x common factors =1 x 23 = 23

LCM(46,345,311) = ( 46 × 345 × 311 ) / 23

LCM(46,345,311) = 4935570 / 23

LCM(46,345,311) = 214590


Lets's calculate GCF of 85,83,569

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214590/1

Therefore the LCM of Fractions 46/85,345/83,311/569 is 214590

Greatest Common Factor of 85,83,569 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,83,569 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Greatest Common Factor

We found the factors 85,83,569 . The biggest common factor number is the GCF number.
So the greatest common factor 85,83,569 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 46/85, 345/83, 311/569

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 46/85, 345/83, 311/569?

Answer: LCM of Numerators as per given numbers 46/85, 345/83, 311/569 is

LCM of Numerators i.e. for 46,345,311 is 214590

GCF of denominators i.e. for 85,83,569 is 1.

Thus, LCM of Fractions is 214590.Finally, LCM of Fractions for 46/85, 345/83, 311/569 is 214590.