Least Common Multiple of 83/586, 864/100, 534/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/586, 864/100, 534/162 quickly i.e. 3191184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/586, 864/100, 534/162 is 3191184.

LCM(83/586, 864/100, 534/162) = 3191184

LCM of 83/586, 864/100, 534/162

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 83/586,864/100,534/162

Given numbers are 83/586,864/100,534/162

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 83,864,534

Least Common Multiple of Numerators i.e. LCM of 83,864,534 is 6382368.

GCF of Denominators means GCF of 586,100,162 as per the given fractions.

GCF of 586,100,162 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,864,534

LCM of Fractions 83/586,864/100,534/162 is 3191184

2 83, 864, 534
3 83, 432, 267
83, 144, 89

∴ So the LCM of the given numbers is 2 x 3 x 83 x 144 x 89 = 6382368

Least Common Multiple of 83,864,534 with GCF Formula

Least Common Multiple of 83,864,534 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 83,864,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,864,534) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(83,864,534) x common factors =1 x 6 = 6

LCM(83,864,534) = ( 83 × 864 × 534 ) / 6

LCM(83,864,534) = 38294208 / 6

LCM(83,864,534) = 6382368


Lets's calculate GCF of 586,100,162

2 586, 100, 162
293, 50, 81

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6382368/2

Therefore the LCM of Fractions 83/586,864/100,534/162 is 3191184

Greatest Common Factor of 586,100,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 586,100,162 By Matching Biggest Common Factor Method

Factors of 586

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

1,2,293,586

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 586,100,162 . The biggest common factor number is the GCF number.
So the greatest common factor 586,100,162 is 2.


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 83/586, 864/100, 534/162

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 83/586, 864/100, 534/162?

Answer: LCM of Numerators as per given numbers 83/586, 864/100, 534/162 is

LCM of Numerators i.e. for 83,864,534 is 6382368

GCF of denominators i.e. for 586,100,162 is 2.

Thus, LCM of Fractions is 3191184.Finally, LCM of Fractions for 83/586, 864/100, 534/162 is 3191184.