Least Common Multiple of 58/505, 42/645, 786/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/505, 42/645, 786/832 quickly i.e. 159558 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/505, 42/645, 786/832 is 159558.

LCM(58/505, 42/645, 786/832) = 159558

LCM of 58/505, 42/645, 786/832

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 58/505,42/645,786/832

Given numbers are 58/505,42/645,786/832

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 58,42,786

Least Common Multiple of Numerators i.e. LCM of 58,42,786 is 159558.

GCF of Denominators means GCF of 505,645,832 as per the given fractions.

GCF of 505,645,832 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,42,786

LCM of Fractions 58/505,42/645,786/832 is 159558

2 58, 42, 786
3 29, 21, 393
29, 7, 131

∴ So the LCM of the given numbers is 2 x 3 x 29 x 7 x 131 = 159558

Least Common Multiple of 58,42,786 with GCF Formula

Least Common Multiple of 58,42,786 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 58,42,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,42,786) = 2

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

GCF(58,42,786) x common factors =2 x 6 = 12

LCM(58,42,786) = ( 58 × 42 × 786 ) / 12

LCM(58,42,786) = 1914696 / 12

LCM(58,42,786) = 159558


Lets's calculate GCF of 505,645,832

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159558/1

Therefore the LCM of Fractions 58/505,42/645,786/832 is 159558

Greatest Common Factor of 505,645,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 505,645,832 By Matching Biggest Common Factor Method

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 505,645,832 . The biggest common factor number is the GCF number.
So the greatest common factor 505,645,832 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 58/505, 42/645, 786/832

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 58/505, 42/645, 786/832?

Answer: LCM of Numerators as per given numbers 58/505, 42/645, 786/832 is

LCM of Numerators i.e. for 58,42,786 is 159558

GCF of denominators i.e. for 505,645,832 is 1.

Thus, LCM of Fractions is 159558.Finally, LCM of Fractions for 58/505, 42/645, 786/832 is 159558.