Least Common Multiple of 34/816, 64/866, 742/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/816, 64/866, 742/769 quickly i.e. 403648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/816, 64/866, 742/769 is 403648.

LCM(34/816, 64/866, 742/769) = 403648

LCM of 34/816, 64/866, 742/769

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 34/816,64/866,742/769

Given numbers are 34/816,64/866,742/769

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 34,64,742

Least Common Multiple of Numerators i.e. LCM of 34,64,742 is 403648.

GCF of Denominators means GCF of 816,866,769 as per the given fractions.

GCF of 816,866,769 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,64,742

LCM of Fractions 34/816,64/866,742/769 is 403648

2 34, 64, 742
17, 32, 371

∴ So the LCM of the given numbers is 2 x 17 x 32 x 371 = 403648

Least Common Multiple of 34,64,742 with GCF Formula

Least Common Multiple of 34,64,742 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 34,64,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,64,742) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(34,64,742) x common factors =2 x 2 = 4

LCM(34,64,742) = ( 34 × 64 × 742 ) / 4

LCM(34,64,742) = 1614592 / 4

LCM(34,64,742) = 403648


Lets's calculate GCF of 816,866,769

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 403648/1

Therefore the LCM of Fractions 34/816,64/866,742/769 is 403648

Greatest Common Factor of 816,866,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,866,769 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

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 816,866,769 . The biggest common factor number is the GCF number.
So the greatest common factor 816,866,769 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 34/816, 64/866, 742/769

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 34/816, 64/866, 742/769?

Answer: LCM of Numerators as per given numbers 34/816, 64/866, 742/769 is

LCM of Numerators i.e. for 34,64,742 is 403648

GCF of denominators i.e. for 816,866,769 is 1.

Thus, LCM of Fractions is 403648.Finally, LCM of Fractions for 34/816, 64/866, 742/769 is 403648.