Least Common Multiple of 789/67, 819/54, 143/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 789/67, 819/54, 143/340 quickly i.e. 2369367 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 789/67, 819/54, 143/340 is 2369367.

LCM(789/67, 819/54, 143/340) = 2369367

LCM of 789/67, 819/54, 143/340

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 789/67,819/54,143/340

Given numbers are 789/67,819/54,143/340

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 789,819,143

Least Common Multiple of Numerators i.e. LCM of 789,819,143 is 2369367.

GCF of Denominators means GCF of 67,54,340 as per the given fractions.

GCF of 67,54,340 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 789,819,143

LCM of Fractions 789/67,819/54,143/340 is 2369367

3 789, 819, 143
13 263, 273, 143
263, 21, 11

∴ So the LCM of the given numbers is 3 x 13 x 263 x 21 x 11 = 2369367

Least Common Multiple of 789,819,143 with GCF Formula

Least Common Multiple of 789,819,143 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 789,819,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,819,143) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(789,819,143) x common factors =1 x 39 = 39

LCM(789,819,143) = ( 789 × 819 × 143 ) / 39

LCM(789,819,143) = 92405313 / 39

LCM(789,819,143) = 2369367


Lets's calculate GCF of 67,54,340

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2369367/1

Therefore the LCM of Fractions 789/67,819/54,143/340 is 2369367

Greatest Common Factor of 67,54,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,54,340 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

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 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 67,54,340 . The biggest common factor number is the GCF number.
So the greatest common factor 67,54,340 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 789/67, 819/54, 143/340

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 789/67, 819/54, 143/340?

Answer: LCM of Numerators as per given numbers 789/67, 819/54, 143/340 is

LCM of Numerators i.e. for 789,819,143 is 2369367

GCF of denominators i.e. for 67,54,340 is 1.

Thus, LCM of Fractions is 2369367.Finally, LCM of Fractions for 789/67, 819/54, 143/340 is 2369367.