Least Common Multiple of 76/12, 19/56, 345/566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/12, 19/56, 345/566 quickly i.e. 13110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/12, 19/56, 345/566 is 13110.

LCM(76/12, 19/56, 345/566) = 13110

LCM of 76/12, 19/56, 345/566

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 76/12,19/56,345/566

Given numbers are 76/12,19/56,345/566

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 76,19,345

Least Common Multiple of Numerators i.e. LCM of 76,19,345 is 26220.

GCF of Denominators means GCF of 12,56,566 as per the given fractions.

GCF of 12,56,566 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,19,345

LCM of Fractions 76/12,19/56,345/566 is 13110

19 76, 19, 345
4, 1, 345

∴ So the LCM of the given numbers is 19 x 4 x 1 x 345 = 26220

Least Common Multiple of 76,19,345 with GCF Formula

Least Common Multiple of 76,19,345 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 76,19,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,19,345) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(76,19,345) x common factors =1 x 19 = 19

LCM(76,19,345) = ( 76 × 19 × 345 ) / 19

LCM(76,19,345) = 498180 / 19

LCM(76,19,345) = 26220


Lets's calculate GCF of 12,56,566

2 12, 56, 566
6, 28, 283

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26220/2

Therefore the LCM of Fractions 76/12,19/56,345/566 is 13110

Greatest Common Factor of 12,56,566 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,56,566 By Matching Biggest Common Factor Method

Factors of 12

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

1,2,3,4,6,12

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 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Greatest Common Factor

We found the factors 12,56,566 . The biggest common factor number is the GCF number.
So the greatest common factor 12,56,566 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 76/12, 19/56, 345/566

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 76/12, 19/56, 345/566?

Answer: LCM of Numerators as per given numbers 76/12, 19/56, 345/566 is

LCM of Numerators i.e. for 76,19,345 is 26220

GCF of denominators i.e. for 12,56,566 is 2.

Thus, LCM of Fractions is 13110.Finally, LCM of Fractions for 76/12, 19/56, 345/566 is 13110.