Least Common Multiple of 85/466, 47/765, 329/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/466, 47/765, 329/454 quickly i.e. 27965 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/466, 47/765, 329/454 is 27965.

LCM(85/466, 47/765, 329/454) = 27965

LCM of 85/466, 47/765, 329/454

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 85/466,47/765,329/454

Given numbers are 85/466,47/765,329/454

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 85,47,329

Least Common Multiple of Numerators i.e. LCM of 85,47,329 is 27965.

GCF of Denominators means GCF of 466,765,454 as per the given fractions.

GCF of 466,765,454 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,47,329

LCM of Fractions 85/466,47/765,329/454 is 27965

47 85, 47, 329
85, 1, 7

∴ So the LCM of the given numbers is 47 x 85 x 1 x 7 = 27965

Least Common Multiple of 85,47,329 with GCF Formula

Least Common Multiple of 85,47,329 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 85,47,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,47,329) = 1

common factors(in case of two or more numbers have common factors) = 47

GCF(85,47,329) x common factors =1 x 47 = 47

LCM(85,47,329) = ( 85 × 47 × 329 ) / 47

LCM(85,47,329) = 1314355 / 47

LCM(85,47,329) = 27965


Lets's calculate GCF of 466,765,454

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27965/1

Therefore the LCM of Fractions 85/466,47/765,329/454 is 27965

Greatest Common Factor of 466,765,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,765,454 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Greatest Common Factor

We found the factors 466,765,454 . The biggest common factor number is the GCF number.
So the greatest common factor 466,765,454 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 85/466, 47/765, 329/454

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 85/466, 47/765, 329/454?

Answer: LCM of Numerators as per given numbers 85/466, 47/765, 329/454 is

LCM of Numerators i.e. for 85,47,329 is 27965

GCF of denominators i.e. for 466,765,454 is 1.

Thus, LCM of Fractions is 27965.Finally, LCM of Fractions for 85/466, 47/765, 329/454 is 27965.