Least Common Multiple of 6/56, 3/14, 29/74, 48/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/56, 3/14, 29/74, 48/586 quickly i.e. 696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/56, 3/14, 29/74, 48/586 is 696.

LCM(6/56, 3/14, 29/74, 48/586) = 696

LCM of 6/56, 3/14, 29/74, 48/586

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 6/56,3/14,29/74,48/586

Given numbers are 6/56,3/14,29/74,48/586

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 6,3,29,48

Least Common Multiple of Numerators i.e. LCM of 6,3,29,48 is 1392.

GCF of Denominators means GCF of 56,14,74,586 as per the given fractions.

GCF of 56,14,74,586 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,3,29,48

LCM of Fractions 6/56,3/14,29/74,48/586 is 696

2 6, 3, 29, 48
3 3, 3, 29, 24
1, 1, 29, 8

∴ So the LCM of the given numbers is 2 x 3 x 1 x 1 x 29 x 8 = 1392

Least Common Multiple of 6,3,29,48 with GCF Formula

Least Common Multiple of 6,3,29,48 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 6,3,29,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,3,29,48) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(6,3,29,48) x common factors =1 x 18 = 18

LCM(6,3,29,48) = ( 6 × 3 × 29 × 48 ) / 18

LCM(6,3,29,48) = 25056 / 18

LCM(6,3,29,48) = 1392


Lets's calculate GCF of 56,14,74,586

2 56, 14, 74, 586
28, 7, 37, 293

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1392/2

Therefore the LCM of Fractions 6/56,3/14,29/74,48/586 is 696

Greatest Common Factor of 56,14,74,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,14,74,586 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 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Greatest Common Factor

We found the factors 56,14,74,586 . The biggest common factor number is the GCF number.
So the greatest common factor 56,14,74,586 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 6/56, 3/14, 29/74, 48/586

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 6/56, 3/14, 29/74, 48/586?

Answer: LCM of Numerators as per given numbers 6/56, 3/14, 29/74, 48/586 is

LCM of Numerators i.e. for 6,3,29,48 is 1392

GCF of denominators i.e. for 56,14,74,586 is 2.

Thus, LCM of Fractions is 696.Finally, LCM of Fractions for 6/56, 3/14, 29/74, 48/586 is 696.