Least Common Multiple of 72/783, 345/190, 697/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/783, 345/190, 697/769 quickly i.e. 5771160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/783, 345/190, 697/769 is 5771160.

LCM(72/783, 345/190, 697/769) = 5771160

LCM of 72/783, 345/190, 697/769

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 72/783,345/190,697/769

Given numbers are 72/783,345/190,697/769

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 72,345,697

Least Common Multiple of Numerators i.e. LCM of 72,345,697 is 5771160.

GCF of Denominators means GCF of 783,190,769 as per the given fractions.

GCF of 783,190,769 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,345,697

LCM of Fractions 72/783,345/190,697/769 is 5771160

3 72, 345, 697
24, 115, 697

∴ So the LCM of the given numbers is 3 x 24 x 115 x 697 = 5771160

Least Common Multiple of 72,345,697 with GCF Formula

Least Common Multiple of 72,345,697 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 72,345,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,345,697) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(72,345,697) x common factors =1 x 3 = 3

LCM(72,345,697) = ( 72 × 345 × 697 ) / 3

LCM(72,345,697) = 17313480 / 3

LCM(72,345,697) = 5771160


Lets's calculate GCF of 783,190,769

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5771160/1

Therefore the LCM of Fractions 72/783,345/190,697/769 is 5771160

Greatest Common Factor of 783,190,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 783,190,769 By Matching Biggest Common Factor Method

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Greatest Common Factor

We found the factors 783,190,769 . The biggest common factor number is the GCF number.
So the greatest common factor 783,190,769 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 72/783, 345/190, 697/769

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 72/783, 345/190, 697/769?

Answer: LCM of Numerators as per given numbers 72/783, 345/190, 697/769 is

LCM of Numerators i.e. for 72,345,697 is 5771160

GCF of denominators i.e. for 783,190,769 is 1.

Thus, LCM of Fractions is 5771160.Finally, LCM of Fractions for 72/783, 345/190, 697/769 is 5771160.