Least Common Multiple of 72/839, 280/182, 588/485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/839, 280/182, 588/485 quickly i.e. 17640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/839, 280/182, 588/485 is 17640.

LCM(72/839, 280/182, 588/485) = 17640

LCM of 72/839, 280/182, 588/485

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 72/839,280/182,588/485

Given numbers are 72/839,280/182,588/485

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 72,280,588

Least Common Multiple of Numerators i.e. LCM of 72,280,588 is 17640.

GCF of Denominators means GCF of 839,182,485 as per the given fractions.

GCF of 839,182,485 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,280,588

LCM of Fractions 72/839,280/182,588/485 is 17640

2 72, 280, 588
2 36, 140, 294
2 18, 70, 147
3 9, 35, 147
7 3, 35, 49
3, 5, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 3 x 5 x 7 = 17640

Least Common Multiple of 72,280,588 with GCF Formula

Least Common Multiple of 72,280,588 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 72,280,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,280,588) = 4

common factors(in case of two or more numbers have common factors) = 168

GCF(72,280,588) x common factors =4 x 168 = 672

LCM(72,280,588) = ( 72 × 280 × 588 ) / 672

LCM(72,280,588) = 11854080 / 672

LCM(72,280,588) = 17640


Lets's calculate GCF of 839,182,485

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17640/1

Therefore the LCM of Fractions 72/839,280/182,588/485 is 17640

Greatest Common Factor of 839,182,485 By Matching Biggest Common Factor Method

Greatest Common Factor of 839,182,485 By Matching Biggest Common Factor Method

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Greatest Common Factor

We found the factors 839,182,485 . The biggest common factor number is the GCF number.
So the greatest common factor 839,182,485 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 72/839, 280/182, 588/485

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 72/839, 280/182, 588/485?

Answer: LCM of Numerators as per given numbers 72/839, 280/182, 588/485 is

LCM of Numerators i.e. for 72,280,588 is 17640

GCF of denominators i.e. for 839,182,485 is 1.

Thus, LCM of Fractions is 17640.Finally, LCM of Fractions for 72/839, 280/182, 588/485 is 17640.