Least Common Multiple of 23/786, 84/843, 147/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/786, 84/843, 147/680 quickly i.e. 13524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/786, 84/843, 147/680 is 13524.

LCM(23/786, 84/843, 147/680) = 13524

LCM of 23/786, 84/843, 147/680

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 23/786,84/843,147/680

Given numbers are 23/786,84/843,147/680

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 23,84,147

Least Common Multiple of Numerators i.e. LCM of 23,84,147 is 13524.

GCF of Denominators means GCF of 786,843,680 as per the given fractions.

GCF of 786,843,680 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,84,147

LCM of Fractions 23/786,84/843,147/680 is 13524

3 23, 84, 147
7 23, 28, 49
23, 4, 7

∴ So the LCM of the given numbers is 3 x 7 x 23 x 4 x 7 = 13524

Least Common Multiple of 23,84,147 with GCF Formula

Least Common Multiple of 23,84,147 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 23,84,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,84,147) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(23,84,147) x common factors =1 x 21 = 21

LCM(23,84,147) = ( 23 × 84 × 147 ) / 21

LCM(23,84,147) = 284004 / 21

LCM(23,84,147) = 13524


Lets's calculate GCF of 786,843,680

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13524/1

Therefore the LCM of Fractions 23/786,84/843,147/680 is 13524

Greatest Common Factor of 786,843,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,843,680 By Matching Biggest Common Factor Method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 786,843,680 . The biggest common factor number is the GCF number.
So the greatest common factor 786,843,680 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 23/786, 84/843, 147/680

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 23/786, 84/843, 147/680?

Answer: LCM of Numerators as per given numbers 23/786, 84/843, 147/680 is

LCM of Numerators i.e. for 23,84,147 is 13524

GCF of denominators i.e. for 786,843,680 is 1.

Thus, LCM of Fractions is 13524.Finally, LCM of Fractions for 23/786, 84/843, 147/680 is 13524.