Least Common Multiple of 84/58, 12/10, 58/46, 11/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/58, 12/10, 58/46, 11/508 quickly i.e. 13398 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/58, 12/10, 58/46, 11/508 is 13398.

LCM(84/58, 12/10, 58/46, 11/508) = 13398

LCM of 84/58, 12/10, 58/46, 11/508

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 84/58,12/10,58/46,11/508

Given numbers are 84/58,12/10,58/46,11/508

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 84,12,58,11

Least Common Multiple of Numerators i.e. LCM of 84,12,58,11 is 26796.

GCF of Denominators means GCF of 58,10,46,508 as per the given fractions.

GCF of 58,10,46,508 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,12,58,11

LCM of Fractions 84/58,12/10,58/46,11/508 is 13398

2 84, 12, 58, 11
2 42, 6, 29, 11
3 21, 3, 29, 11
7, 1, 29, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 29 x 11 = 26796

Least Common Multiple of 84,12,58,11 with GCF Formula

Least Common Multiple of 84,12,58,11 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 84,12,58,11 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,12,58,11) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(84,12,58,11) x common factors =1 x 24 = 24

LCM(84,12,58,11) = ( 84 × 12 × 58 × 11 ) / 24

LCM(84,12,58,11) = 643104 / 24

LCM(84,12,58,11) = 26796


Lets's calculate GCF of 58,10,46,508

2 58, 10, 46, 508
29, 5, 23, 254

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26796/2

Therefore the LCM of Fractions 84/58,12/10,58/46,11/508 is 13398

Greatest Common Factor of 58,10,46,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,10,46,508 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 58,10,46,508 . The biggest common factor number is the GCF number.
So the greatest common factor 58,10,46,508 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 84/58, 12/10, 58/46, 11/508

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 84/58, 12/10, 58/46, 11/508?

Answer: LCM of Numerators as per given numbers 84/58, 12/10, 58/46, 11/508 is

LCM of Numerators i.e. for 84,12,58,11 is 26796

GCF of denominators i.e. for 58,10,46,508 is 2.

Thus, LCM of Fractions is 13398.Finally, LCM of Fractions for 84/58, 12/10, 58/46, 11/508 is 13398.