Least Common Multiple of 46/84, 58/85, 14/82, 82/567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/84, 58/85, 14/82, 82/567 quickly i.e. 382858 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/84, 58/85, 14/82, 82/567 is 382858.

LCM(46/84, 58/85, 14/82, 82/567) = 382858

LCM of 46/84, 58/85, 14/82, 82/567

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 46/84,58/85,14/82,82/567

Given numbers are 46/84,58/85,14/82,82/567

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 46,58,14,82

Least Common Multiple of Numerators i.e. LCM of 46,58,14,82 is 382858.

GCF of Denominators means GCF of 84,85,82,567 as per the given fractions.

GCF of 84,85,82,567 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,58,14,82

LCM of Fractions 46/84,58/85,14/82,82/567 is 382858

2 46, 58, 14, 82
23, 29, 7, 41

∴ So the LCM of the given numbers is 2 x 23 x 29 x 7 x 41 = 382858

Least Common Multiple of 46,58,14,82 with GCF Formula

Least Common Multiple of 46,58,14,82 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 46,58,14,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,58,14,82) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(46,58,14,82) x common factors =2 x 4 = 8

LCM(46,58,14,82) = ( 46 × 58 × 14 × 82 ) / 8

LCM(46,58,14,82) = 3062864 / 8

LCM(46,58,14,82) = 382858


Lets's calculate GCF of 84,85,82,567

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 382858/1

Therefore the LCM of Fractions 46/84,58/85,14/82,82/567 is 382858

Greatest Common Factor of 84,85,82,567 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,85,82,567 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 85

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

1,5,17,85

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Greatest Common Factor

We found the factors 84,85,82,567 . The biggest common factor number is the GCF number.
So the greatest common factor 84,85,82,567 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 46/84, 58/85, 14/82, 82/567

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 46/84, 58/85, 14/82, 82/567?

Answer: LCM of Numerators as per given numbers 46/84, 58/85, 14/82, 82/567 is

LCM of Numerators i.e. for 46,58,14,82 is 382858

GCF of denominators i.e. for 84,85,82,567 is 1.

Thus, LCM of Fractions is 382858.Finally, LCM of Fractions for 46/84, 58/85, 14/82, 82/567 is 382858.