Least Common Multiple of 6/56, 567/66, 774/14

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/56, 567/66, 774/14 quickly i.e. 24381 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, 567/66, 774/14 is 24381.

LCM(6/56, 567/66, 774/14) = 24381

LCM of 6/56, 567/66, 774/14

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 6/56,567/66,774/14

Given numbers are 6/56,567/66,774/14

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 6,567,774

Least Common Multiple of Numerators i.e. LCM of 6,567,774 is 48762.

GCF of Denominators means GCF of 56,66,14 as per the given fractions.

GCF of 56,66,14 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,567,774

LCM of Fractions 6/56,567/66,774/14 is 24381

2 6, 567, 774
3 3, 567, 387
3 1, 189, 129
1, 63, 43

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 63 x 43 = 48762

Least Common Multiple of 6,567,774 with GCF Formula

Least Common Multiple of 6,567,774 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 6,567,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,567,774) = 3

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

GCF(6,567,774) x common factors =3 x 18 = 54

LCM(6,567,774) = ( 6 × 567 × 774 ) / 54

LCM(6,567,774) = 2633148 / 54

LCM(6,567,774) = 48762


Lets's calculate GCF of 56,66,14

2 56, 66, 14
28, 33, 7

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48762/2

Therefore the LCM of Fractions 6/56,567/66,774/14 is 24381

Greatest Common Factor of 56,66,14 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,66,14 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 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 14

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

1,2,7,14

Greatest Common Factor

We found the factors 56,66,14 . The biggest common factor number is the GCF number.
So the greatest common factor 56,66,14 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, 567/66, 774/14

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, 567/66, 774/14?

Answer: LCM of Numerators as per given numbers 6/56, 567/66, 774/14 is

LCM of Numerators i.e. for 6,567,774 is 48762

GCF of denominators i.e. for 56,66,14 is 2.

Thus, LCM of Fractions is 24381.Finally, LCM of Fractions for 6/56, 567/66, 774/14 is 24381.