Least Common Multiple of 83/170, 639/572, 396/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/170, 639/572, 396/486 quickly i.e. 1166814 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/170, 639/572, 396/486 is 1166814.

LCM(83/170, 639/572, 396/486) = 1166814

LCM of 83/170, 639/572, 396/486

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 83/170,639/572,396/486

Given numbers are 83/170,639/572,396/486

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 83,639,396

Least Common Multiple of Numerators i.e. LCM of 83,639,396 is 2333628.

GCF of Denominators means GCF of 170,572,486 as per the given fractions.

GCF of 170,572,486 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,639,396

LCM of Fractions 83/170,639/572,396/486 is 1166814

3 83, 639, 396
3 83, 213, 132
83, 71, 44

∴ So the LCM of the given numbers is 3 x 3 x 83 x 71 x 44 = 2333628

Least Common Multiple of 83,639,396 with GCF Formula

Least Common Multiple of 83,639,396 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 83,639,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,639,396) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(83,639,396) x common factors =1 x 9 = 9

LCM(83,639,396) = ( 83 × 639 × 396 ) / 9

LCM(83,639,396) = 21002652 / 9

LCM(83,639,396) = 2333628


Lets's calculate GCF of 170,572,486

2 170, 572, 486
85, 286, 243

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2333628/2

Therefore the LCM of Fractions 83/170,639/572,396/486 is 1166814

Greatest Common Factor of 170,572,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,572,486 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 170,572,486 . The biggest common factor number is the GCF number.
So the greatest common factor 170,572,486 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 83/170, 639/572, 396/486

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 83/170, 639/572, 396/486?

Answer: LCM of Numerators as per given numbers 83/170, 639/572, 396/486 is

LCM of Numerators i.e. for 83,639,396 is 2333628

GCF of denominators i.e. for 170,572,486 is 2.

Thus, LCM of Fractions is 1166814.Finally, LCM of Fractions for 83/170, 639/572, 396/486 is 1166814.