Least Common Multiple of 500/142, 336/699, 659/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 500/142, 336/699, 659/582 quickly i.e. 27678000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 500/142, 336/699, 659/582 is 27678000.

LCM(500/142, 336/699, 659/582) = 27678000

LCM of 500/142, 336/699, 659/582

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 500/142,336/699,659/582

Given numbers are 500/142,336/699,659/582

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 500,336,659

Least Common Multiple of Numerators i.e. LCM of 500,336,659 is 27678000.

GCF of Denominators means GCF of 142,699,582 as per the given fractions.

GCF of 142,699,582 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 500,336,659

LCM of Fractions 500/142,336/699,659/582 is 27678000

2 500, 336, 659
2 250, 168, 659
125, 84, 659

∴ So the LCM of the given numbers is 2 x 2 x 125 x 84 x 659 = 27678000

Least Common Multiple of 500,336,659 with GCF Formula

Least Common Multiple of 500,336,659 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 500,336,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,336,659) = 1

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

GCF(500,336,659) x common factors =1 x 4 = 4

LCM(500,336,659) = ( 500 × 336 × 659 ) / 4

LCM(500,336,659) = 110712000 / 4

LCM(500,336,659) = 27678000


Lets's calculate GCF of 142,699,582

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27678000/1

Therefore the LCM of Fractions 500/142,336/699,659/582 is 27678000

Greatest Common Factor of 142,699,582 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,699,582 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Greatest Common Factor

We found the factors 142,699,582 . The biggest common factor number is the GCF number.
So the greatest common factor 142,699,582 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 500/142, 336/699, 659/582

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 500/142, 336/699, 659/582?

Answer: LCM of Numerators as per given numbers 500/142, 336/699, 659/582 is

LCM of Numerators i.e. for 500,336,659 is 27678000

GCF of denominators i.e. for 142,699,582 is 1.

Thus, LCM of Fractions is 27678000.Finally, LCM of Fractions for 500/142, 336/699, 659/582 is 27678000.