Least Common Multiple of 56/29, 14/78, 36/42, 69/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/29, 14/78, 36/42, 69/606 quickly i.e. 11592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/29, 14/78, 36/42, 69/606 is 11592.

LCM(56/29, 14/78, 36/42, 69/606) = 11592

LCM of 56/29, 14/78, 36/42, 69/606

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 56/29,14/78,36/42,69/606

Given numbers are 56/29,14/78,36/42,69/606

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 56,14,36,69

Least Common Multiple of Numerators i.e. LCM of 56,14,36,69 is 11592.

GCF of Denominators means GCF of 29,78,42,606 as per the given fractions.

GCF of 29,78,42,606 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,14,36,69

LCM of Fractions 56/29,14/78,36/42,69/606 is 11592

2 56, 14, 36, 69
2 28, 7, 18, 69
3 14, 7, 9, 69
7 14, 7, 3, 23
2, 1, 3, 23

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 2 x 1 x 3 x 23 = 11592

Least Common Multiple of 56,14,36,69 with GCF Formula

Least Common Multiple of 56,14,36,69 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 56,14,36,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,14,36,69) = 1

common factors(in case of two or more numbers have common factors) = 168

GCF(56,14,36,69) x common factors =1 x 168 = 168

LCM(56,14,36,69) = ( 56 × 14 × 36 × 69 ) / 168

LCM(56,14,36,69) = 1947456 / 168

LCM(56,14,36,69) = 11592


Lets's calculate GCF of 29,78,42,606

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11592/1

Therefore the LCM of Fractions 56/29,14/78,36/42,69/606 is 11592

Greatest Common Factor of 29,78,42,606 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,78,42,606 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Greatest Common Factor

We found the factors 29,78,42,606 . The biggest common factor number is the GCF number.
So the greatest common factor 29,78,42,606 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 56/29, 14/78, 36/42, 69/606

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 56/29, 14/78, 36/42, 69/606?

Answer: LCM of Numerators as per given numbers 56/29, 14/78, 36/42, 69/606 is

LCM of Numerators i.e. for 56,14,36,69 is 11592

GCF of denominators i.e. for 29,78,42,606 is 1.

Thus, LCM of Fractions is 11592.Finally, LCM of Fractions for 56/29, 14/78, 36/42, 69/606 is 11592.