Least Common Multiple of 39/926, 46/539, 492/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/926, 46/539, 492/858 quickly i.e. 147108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/926, 46/539, 492/858 is 147108.

LCM(39/926, 46/539, 492/858) = 147108

LCM of 39/926, 46/539, 492/858

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 39/926,46/539,492/858

Given numbers are 39/926,46/539,492/858

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 39,46,492

Least Common Multiple of Numerators i.e. LCM of 39,46,492 is 147108.

GCF of Denominators means GCF of 926,539,858 as per the given fractions.

GCF of 926,539,858 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,46,492

LCM of Fractions 39/926,46/539,492/858 is 147108

2 39, 46, 492
3 39, 23, 246
13, 23, 82

∴ So the LCM of the given numbers is 2 x 3 x 13 x 23 x 82 = 147108

Least Common Multiple of 39,46,492 with GCF Formula

Least Common Multiple of 39,46,492 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 39,46,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,46,492) = 1

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

GCF(39,46,492) x common factors =1 x 6 = 6

LCM(39,46,492) = ( 39 × 46 × 492 ) / 6

LCM(39,46,492) = 882648 / 6

LCM(39,46,492) = 147108


Lets's calculate GCF of 926,539,858

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147108/1

Therefore the LCM of Fractions 39/926,46/539,492/858 is 147108

Greatest Common Factor of 926,539,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 926,539,858 By Matching Biggest Common Factor Method

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 926,539,858 . The biggest common factor number is the GCF number.
So the greatest common factor 926,539,858 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 39/926, 46/539, 492/858

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 39/926, 46/539, 492/858?

Answer: LCM of Numerators as per given numbers 39/926, 46/539, 492/858 is

LCM of Numerators i.e. for 39,46,492 is 147108

GCF of denominators i.e. for 926,539,858 is 1.

Thus, LCM of Fractions is 147108.Finally, LCM of Fractions for 39/926, 46/539, 492/858 is 147108.