Least Common Multiple of 789/54, 688/8820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 789/54, 688/8820 quickly i.e. 542832/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 789/54, 688/8820 is 542832/18.

LCM(789/54, 688/8820) = 542832/18

LCM of 789/54, 688/8820

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 789/54,688/8820

Given numbers are 789/54,688/8820

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 789,688

Least Common Multiple of Numerators i.e. LCM of 789,688 is 542832.

GCF of Denominators means GCF of 54,8820 as per the given fractions.

GCF of 54,8820 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 789,688

LCM of Fractions 789/54,688/8820 is 542832/18

Given numbers has no common factors except 1. So, there LCM is their product i.e 542832

Least Common Multiple of 789,688 with GCF Formula

Least Common Multiple of 789,688 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 789,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,688) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(789,688) x common factors =1 x 1 = 1

LCM(789,688) = ( 789 × 688 ) / 1

LCM(789,688) = 542832 / 1

LCM(789,688) = 542832


Lets's calculate GCF of 54,8820

2 54, 8820
3 27, 4410
3 9, 1470
3, 490

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 542832/18

Therefore the LCM of Fractions 789/54,688/8820 is 542832/18

Greatest Common Factor of 54,8820 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,8820 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 8820

List of positive integer factors of 8820 that divides 8820 without a remainder.

1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,49,60,63,70,84,90,98,105,126,140,147,180,196,210,245,252,294,315,420,441,490,588,630,735,882,980,1260,1470,1764,2205,2940,4410,8820

Greatest Common Factor

We found the factors 54,8820 . The biggest common factor number is the GCF number.
So the greatest common factor 54,8820 is 18.


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 789/54, 688/8820

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 789/54, 688/8820?

Answer: LCM of Numerators as per given numbers 789/54, 688/8820 is

LCM of Numerators i.e. for 789,688 is 542832

GCF of denominators i.e. for 54,8820 is 18.

Thus, LCM of Fractions is 542832/18.Finally, LCM of Fractions for 789/54, 688/8820 is 542832/18.