Least Common Multiple of 58/352, 773/462, 496/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/352, 773/462, 496/542 quickly i.e. 5559416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/352, 773/462, 496/542 is 5559416.

LCM(58/352, 773/462, 496/542) = 5559416

LCM of 58/352, 773/462, 496/542

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 58/352,773/462,496/542

Given numbers are 58/352,773/462,496/542

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 58,773,496

Least Common Multiple of Numerators i.e. LCM of 58,773,496 is 11118832.

GCF of Denominators means GCF of 352,462,542 as per the given fractions.

GCF of 352,462,542 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,773,496

LCM of Fractions 58/352,773/462,496/542 is 5559416

2 58, 773, 496
29, 773, 248

∴ So the LCM of the given numbers is 2 x 29 x 773 x 248 = 11118832

Least Common Multiple of 58,773,496 with GCF Formula

Least Common Multiple of 58,773,496 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 58,773,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,773,496) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(58,773,496) x common factors =1 x 2 = 2

LCM(58,773,496) = ( 58 × 773 × 496 ) / 2

LCM(58,773,496) = 22237664 / 2

LCM(58,773,496) = 11118832


Lets's calculate GCF of 352,462,542

2 352, 462, 542
176, 231, 271

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11118832/2

Therefore the LCM of Fractions 58/352,773/462,496/542 is 5559416

Greatest Common Factor of 352,462,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,462,542 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Greatest Common Factor

We found the factors 352,462,542 . The biggest common factor number is the GCF number.
So the greatest common factor 352,462,542 is 2.


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 58/352, 773/462, 496/542

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 58/352, 773/462, 496/542?

Answer: LCM of Numerators as per given numbers 58/352, 773/462, 496/542 is

LCM of Numerators i.e. for 58,773,496 is 11118832

GCF of denominators i.e. for 352,462,542 is 2.

Thus, LCM of Fractions is 5559416.Finally, LCM of Fractions for 58/352, 773/462, 496/542 is 5559416.