Least Common Multiple of 58/515, 852/384, 422/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/515, 852/384, 422/210 quickly i.e. 5213388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/515, 852/384, 422/210 is 5213388.

LCM(58/515, 852/384, 422/210) = 5213388

LCM of 58/515, 852/384, 422/210

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 58/515,852/384,422/210

Given numbers are 58/515,852/384,422/210

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 58,852,422

Least Common Multiple of Numerators i.e. LCM of 58,852,422 is 5213388.

GCF of Denominators means GCF of 515,384,210 as per the given fractions.

GCF of 515,384,210 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,852,422

LCM of Fractions 58/515,852/384,422/210 is 5213388

2 58, 852, 422
29, 426, 211

∴ So the LCM of the given numbers is 2 x 29 x 426 x 211 = 5213388

Least Common Multiple of 58,852,422 with GCF Formula

Least Common Multiple of 58,852,422 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 58,852,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,852,422) = 2

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

GCF(58,852,422) x common factors =2 x 2 = 4

LCM(58,852,422) = ( 58 × 852 × 422 ) / 4

LCM(58,852,422) = 20853552 / 4

LCM(58,852,422) = 5213388


Lets's calculate GCF of 515,384,210

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5213388/1

Therefore the LCM of Fractions 58/515,852/384,422/210 is 5213388

Greatest Common Factor of 515,384,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 515,384,210 By Matching Biggest Common Factor Method

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 515,384,210 . The biggest common factor number is the GCF number.
So the greatest common factor 515,384,210 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 58/515, 852/384, 422/210

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 58/515, 852/384, 422/210?

Answer: LCM of Numerators as per given numbers 58/515, 852/384, 422/210 is

LCM of Numerators i.e. for 58,852,422 is 5213388

GCF of denominators i.e. for 515,384,210 is 1.

Thus, LCM of Fractions is 5213388.Finally, LCM of Fractions for 58/515, 852/384, 422/210 is 5213388.