Least Common Multiple of 39/489, 82/874, 599/437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/489, 82/874, 599/437 quickly i.e. 1915602 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/489, 82/874, 599/437 is 1915602.

LCM(39/489, 82/874, 599/437) = 1915602

LCM of 39/489, 82/874, 599/437

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 39/489,82/874,599/437

Given numbers are 39/489,82/874,599/437

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 39,82,599

Least Common Multiple of Numerators i.e. LCM of 39,82,599 is 1915602.

GCF of Denominators means GCF of 489,874,437 as per the given fractions.

GCF of 489,874,437 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,82,599

LCM of Fractions 39/489,82/874,599/437 is 1915602

Given numbers has no common factors except 1. So, there LCM is their product i.e 1915602

Least Common Multiple of 39,82,599 with GCF Formula

Least Common Multiple of 39,82,599 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 39,82,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,82,599) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(39,82,599) x common factors =1 x 1 = 1

LCM(39,82,599) = ( 39 × 82 × 599 ) / 1

LCM(39,82,599) = 1915602 / 1

LCM(39,82,599) = 1915602


Lets's calculate GCF of 489,874,437

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1915602/1

Therefore the LCM of Fractions 39/489,82/874,599/437 is 1915602

Greatest Common Factor of 489,874,437 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,874,437 By Matching Biggest Common Factor Method

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Greatest Common Factor

We found the factors 489,874,437 . The biggest common factor number is the GCF number.
So the greatest common factor 489,874,437 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 39/489, 82/874, 599/437

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 39/489, 82/874, 599/437?

Answer: LCM of Numerators as per given numbers 39/489, 82/874, 599/437 is

LCM of Numerators i.e. for 39,82,599 is 1915602

GCF of denominators i.e. for 489,874,437 is 1.

Thus, LCM of Fractions is 1915602.Finally, LCM of Fractions for 39/489, 82/874, 599/437 is 1915602.