Least Common Multiple of 6/14, 8/12, 51/40, 77/46

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/14, 8/12, 51/40, 77/46 quickly i.e. 15708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/14, 8/12, 51/40, 77/46 is 15708.

LCM(6/14, 8/12, 51/40, 77/46) = 15708

LCM of 6/14, 8/12, 51/40, 77/46

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 6/14,8/12,51/40,77/46

Given numbers are 6/14,8/12,51/40,77/46

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 6,8,51,77

Least Common Multiple of Numerators i.e. LCM of 6,8,51,77 is 31416.

GCF of Denominators means GCF of 14,12,40,46 as per the given fractions.

GCF of 14,12,40,46 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,8,51,77

LCM of Fractions 6/14,8/12,51/40,77/46 is 15708

2 6, 8, 51, 77
3 3, 4, 51, 77
1, 4, 17, 77

∴ So the LCM of the given numbers is 2 x 3 x 1 x 4 x 17 x 77 = 31416

Least Common Multiple of 6,8,51,77 with GCF Formula

Least Common Multiple of 6,8,51,77 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 6,8,51,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,8,51,77) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(6,8,51,77) x common factors =1 x 6 = 6

LCM(6,8,51,77) = ( 6 × 8 × 51 × 77 ) / 6

LCM(6,8,51,77) = 188496 / 6

LCM(6,8,51,77) = 31416


Lets's calculate GCF of 14,12,40,46

2 14, 12, 40, 46
7, 6, 20, 23

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31416/2

Therefore the LCM of Fractions 6/14,8/12,51/40,77/46 is 15708

Greatest Common Factor of 14,12,40,46 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,12,40,46 By Matching Biggest Common Factor Method

Factors of 14

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

1,2,7,14

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 46

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

1,2,23,46

Greatest Common Factor

We found the factors 14,12,40,46 . The biggest common factor number is the GCF number.
So the greatest common factor 14,12,40,46 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 6/14, 8/12, 51/40, 77/46

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 6/14, 8/12, 51/40, 77/46?

Answer: LCM of Numerators as per given numbers 6/14, 8/12, 51/40, 77/46 is

LCM of Numerators i.e. for 6,8,51,77 is 31416

GCF of denominators i.e. for 14,12,40,46 is 2.

Thus, LCM of Fractions is 15708.Finally, LCM of Fractions for 6/14, 8/12, 51/40, 77/46 is 15708.