Least Common Multiple of 56/70, 17/58, 42/72, 33/395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/70, 17/58, 42/72, 33/395 quickly i.e. 31416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/70, 17/58, 42/72, 33/395 is 31416.

LCM(56/70, 17/58, 42/72, 33/395) = 31416

LCM of 56/70, 17/58, 42/72, 33/395

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 56/70,17/58,42/72,33/395

Given numbers are 56/70,17/58,42/72,33/395

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 56,17,42,33

Least Common Multiple of Numerators i.e. LCM of 56,17,42,33 is 31416.

GCF of Denominators means GCF of 70,58,72,395 as per the given fractions.

GCF of 70,58,72,395 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,17,42,33

LCM of Fractions 56/70,17/58,42/72,33/395 is 31416

2 56, 17, 42, 33
3 28, 17, 21, 33
7 28, 17, 7, 11
4, 17, 1, 11

∴ So the LCM of the given numbers is 2 x 3 x 7 x 4 x 17 x 1 x 11 = 31416

Least Common Multiple of 56,17,42,33 with GCF Formula

Least Common Multiple of 56,17,42,33 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 56,17,42,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,17,42,33) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(56,17,42,33) x common factors =1 x 42 = 42

LCM(56,17,42,33) = ( 56 × 17 × 42 × 33 ) / 42

LCM(56,17,42,33) = 1319472 / 42

LCM(56,17,42,33) = 31416


Lets's calculate GCF of 70,58,72,395

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31416/1

Therefore the LCM of Fractions 56/70,17/58,42/72,33/395 is 31416

Greatest Common Factor of 70,58,72,395 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,58,72,395 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 58

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

1,2,29,58

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Greatest Common Factor

We found the factors 70,58,72,395 . The biggest common factor number is the GCF number.
So the greatest common factor 70,58,72,395 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 56/70, 17/58, 42/72, 33/395

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 56/70, 17/58, 42/72, 33/395?

Answer: LCM of Numerators as per given numbers 56/70, 17/58, 42/72, 33/395 is

LCM of Numerators i.e. for 56,17,42,33 is 31416

GCF of denominators i.e. for 70,58,72,395 is 1.

Thus, LCM of Fractions is 31416.Finally, LCM of Fractions for 56/70, 17/58, 42/72, 33/395 is 31416.