Least Common Multiple of 546/82, 600/67, 212/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 546/82, 600/67, 212/586 quickly i.e. 2893800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 546/82, 600/67, 212/586 is 2893800.

LCM(546/82, 600/67, 212/586) = 2893800

LCM of 546/82, 600/67, 212/586

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 546/82,600/67,212/586

Given numbers are 546/82,600/67,212/586

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 546,600,212

Least Common Multiple of Numerators i.e. LCM of 546,600,212 is 2893800.

GCF of Denominators means GCF of 82,67,586 as per the given fractions.

GCF of 82,67,586 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 546,600,212

LCM of Fractions 546/82,600/67,212/586 is 2893800

2 546, 600, 212
2 273, 300, 106
3 273, 150, 53
91, 50, 53

∴ So the LCM of the given numbers is 2 x 2 x 3 x 91 x 50 x 53 = 2893800

Least Common Multiple of 546,600,212 with GCF Formula

Least Common Multiple of 546,600,212 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 546,600,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,600,212) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(546,600,212) x common factors =2 x 12 = 24

LCM(546,600,212) = ( 546 × 600 × 212 ) / 24

LCM(546,600,212) = 69451200 / 24

LCM(546,600,212) = 2893800


Lets's calculate GCF of 82,67,586

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2893800/1

Therefore the LCM of Fractions 546/82,600/67,212/586 is 2893800

Greatest Common Factor of 82,67,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,67,586 By Matching Biggest Common Factor Method

Factors of 82

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

1,2,41,82

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Greatest Common Factor

We found the factors 82,67,586 . The biggest common factor number is the GCF number.
So the greatest common factor 82,67,586 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 546/82, 600/67, 212/586

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 546/82, 600/67, 212/586?

Answer: LCM of Numerators as per given numbers 546/82, 600/67, 212/586 is

LCM of Numerators i.e. for 546,600,212 is 2893800

GCF of denominators i.e. for 82,67,586 is 1.

Thus, LCM of Fractions is 2893800.Finally, LCM of Fractions for 546/82, 600/67, 212/586 is 2893800.