Least Common Multiple of 64/14, 34/75, 794/617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/14, 34/75, 794/617 quickly i.e. 431936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/14, 34/75, 794/617 is 431936.

LCM(64/14, 34/75, 794/617) = 431936

LCM of 64/14, 34/75, 794/617

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 64/14,34/75,794/617

Given numbers are 64/14,34/75,794/617

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 64,34,794

Least Common Multiple of Numerators i.e. LCM of 64,34,794 is 431936.

GCF of Denominators means GCF of 14,75,617 as per the given fractions.

GCF of 14,75,617 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,34,794

LCM of Fractions 64/14,34/75,794/617 is 431936

2 64, 34, 794
32, 17, 397

∴ So the LCM of the given numbers is 2 x 32 x 17 x 397 = 431936

Least Common Multiple of 64,34,794 with GCF Formula

Least Common Multiple of 64,34,794 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 64,34,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,34,794) = 2

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

GCF(64,34,794) x common factors =2 x 2 = 4

LCM(64,34,794) = ( 64 × 34 × 794 ) / 4

LCM(64,34,794) = 1727744 / 4

LCM(64,34,794) = 431936


Lets's calculate GCF of 14,75,617

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 431936/1

Therefore the LCM of Fractions 64/14,34/75,794/617 is 431936

Greatest Common Factor of 14,75,617 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,75,617 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Greatest Common Factor

We found the factors 14,75,617 . The biggest common factor number is the GCF number.
So the greatest common factor 14,75,617 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 64/14, 34/75, 794/617

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 64/14, 34/75, 794/617?

Answer: LCM of Numerators as per given numbers 64/14, 34/75, 794/617 is

LCM of Numerators i.e. for 64,34,794 is 431936

GCF of denominators i.e. for 14,75,617 is 1.

Thus, LCM of Fractions is 431936.Finally, LCM of Fractions for 64/14, 34/75, 794/617 is 431936.