Least Common Multiple of 58/56, 11/84, 14/84, 24/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/56, 11/84, 14/84, 24/908 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 58/56, 11/84, 14/84, 24/908 is 13398.

LCM(58/56, 11/84, 14/84, 24/908) = 13398

LCM of 58/56, 11/84, 14/84, 24/908

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 58/56,11/84,14/84,24/908

Given numbers are 58/56,11/84,14/84,24/908

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 58,11,14,24

Least Common Multiple of Numerators i.e. LCM of 58,11,14,24 is 53592.

GCF of Denominators means GCF of 56,84,84,908 as per the given fractions.

GCF of 56,84,84,908 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,11,14,24

LCM of Fractions 58/56,11/84,14/84,24/908 is 13398

2 58, 11, 14, 24
29, 11, 7, 12

∴ So the LCM of the given numbers is 2 x 29 x 11 x 7 x 12 = 53592

Least Common Multiple of 58,11,14,24 with GCF Formula

Least Common Multiple of 58,11,14,24 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 58,11,14,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,11,14,24) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(58,11,14,24) x common factors =1 x 4 = 4

LCM(58,11,14,24) = ( 58 × 11 × 14 × 24 ) / 4

LCM(58,11,14,24) = 214368 / 4

LCM(58,11,14,24) = 53592


Lets's calculate GCF of 56,84,84,908

2 56, 84, 84, 908
2 28, 42, 42, 454
14, 21, 21, 227

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53592/4

Therefore the LCM of Fractions 58/56,11/84,14/84,24/908 is 13398

Greatest Common Factor of 56,84,84,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,84,84,908 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors 56,84,84,908 . The biggest common factor number is the GCF number.
So the greatest common factor 56,84,84,908 is 4.


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 58/56, 11/84, 14/84, 24/908

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 58/56, 11/84, 14/84, 24/908?

Answer: LCM of Numerators as per given numbers 58/56, 11/84, 14/84, 24/908 is

LCM of Numerators i.e. for 58,11,14,24 is 53592

GCF of denominators i.e. for 56,84,84,908 is 4.

Thus, LCM of Fractions is 13398.Finally, LCM of Fractions for 58/56, 11/84, 14/84, 24/908 is 13398.