Least Common Multiple of 609/60, 819/72, 959/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 609/60, 819/72, 959/753 quickly i.e. 1084629 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 609/60, 819/72, 959/753 is 1084629.

LCM(609/60, 819/72, 959/753) = 1084629

LCM of 609/60, 819/72, 959/753

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 609/60,819/72,959/753

Given numbers are 609/60,819/72,959/753

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 609,819,959

Least Common Multiple of Numerators i.e. LCM of 609,819,959 is 3253887.

GCF of Denominators means GCF of 60,72,753 as per the given fractions.

GCF of 60,72,753 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 609,819,959

LCM of Fractions 609/60,819/72,959/753 is 1084629

3 609, 819, 959
7 203, 273, 959
29, 39, 137

∴ So the LCM of the given numbers is 3 x 7 x 29 x 39 x 137 = 3253887

Least Common Multiple of 609,819,959 with GCF Formula

Least Common Multiple of 609,819,959 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 609,819,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(609,819,959) = 7

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

GCF(609,819,959) x common factors =7 x 21 = 147

LCM(609,819,959) = ( 609 × 819 × 959 ) / 147

LCM(609,819,959) = 478321389 / 147

LCM(609,819,959) = 3253887


Lets's calculate GCF of 60,72,753

3 60, 72, 753
20, 24, 251

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3253887/3

Therefore the LCM of Fractions 609/60,819/72,959/753 is 1084629

Greatest Common Factor of 60,72,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,72,753 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors 60,72,753 . The biggest common factor number is the GCF number.
So the greatest common factor 60,72,753 is 3.


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 609/60, 819/72, 959/753

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 609/60, 819/72, 959/753?

Answer: LCM of Numerators as per given numbers 609/60, 819/72, 959/753 is

LCM of Numerators i.e. for 609,819,959 is 3253887

GCF of denominators i.e. for 60,72,753 is 3.

Thus, LCM of Fractions is 1084629.Finally, LCM of Fractions for 609/60, 819/72, 959/753 is 1084629.