Least Common Multiple of 719/72, 351/20, 685/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 719/72, 351/20, 685/813 quickly i.e. 172872765 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 719/72, 351/20, 685/813 is 172872765.

LCM(719/72, 351/20, 685/813) = 172872765

LCM of 719/72, 351/20, 685/813

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 719/72,351/20,685/813

Given numbers are 719/72,351/20,685/813

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 719,351,685

Least Common Multiple of Numerators i.e. LCM of 719,351,685 is 172872765.

GCF of Denominators means GCF of 72,20,813 as per the given fractions.

GCF of 72,20,813 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 719,351,685

LCM of Fractions 719/72,351/20,685/813 is 172872765

Given numbers has no common factors except 1. So, there LCM is their product i.e 172872765

Least Common Multiple of 719,351,685 with GCF Formula

Least Common Multiple of 719,351,685 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 719,351,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(719,351,685) = 1

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

GCF(719,351,685) x common factors =1 x 1 = 1

LCM(719,351,685) = ( 719 × 351 × 685 ) / 1

LCM(719,351,685) = 172872765 / 1

LCM(719,351,685) = 172872765


Lets's calculate GCF of 72,20,813

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172872765/1

Therefore the LCM of Fractions 719/72,351/20,685/813 is 172872765

Greatest Common Factor of 72,20,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,20,813 By Matching Biggest Common Factor Method

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 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 72,20,813 . The biggest common factor number is the GCF number.
So the greatest common factor 72,20,813 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 719/72, 351/20, 685/813

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 719/72, 351/20, 685/813?

Answer: LCM of Numerators as per given numbers 719/72, 351/20, 685/813 is

LCM of Numerators i.e. for 719,351,685 is 172872765

GCF of denominators i.e. for 72,20,813 is 1.

Thus, LCM of Fractions is 172872765.Finally, LCM of Fractions for 719/72, 351/20, 685/813 is 172872765.