Least Common Multiple of 17/41, 64/492, 793/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/41, 64/492, 793/292 quickly i.e. 862784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/41, 64/492, 793/292 is 862784.

LCM(17/41, 64/492, 793/292) = 862784

LCM of 17/41, 64/492, 793/292

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 17/41,64/492,793/292

Given numbers are 17/41,64/492,793/292

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 17,64,793

Least Common Multiple of Numerators i.e. LCM of 17,64,793 is 862784.

GCF of Denominators means GCF of 41,492,292 as per the given fractions.

GCF of 41,492,292 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,64,793

LCM of Fractions 17/41,64/492,793/292 is 862784

Given numbers has no common factors except 1. So, there LCM is their product i.e 862784

Least Common Multiple of 17,64,793 with GCF Formula

Least Common Multiple of 17,64,793 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 17,64,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,64,793) = 1

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

GCF(17,64,793) x common factors =1 x 1 = 1

LCM(17,64,793) = ( 17 × 64 × 793 ) / 1

LCM(17,64,793) = 862784 / 1

LCM(17,64,793) = 862784


Lets's calculate GCF of 41,492,292

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 862784/1

Therefore the LCM of Fractions 17/41,64/492,793/292 is 862784

Greatest Common Factor of 41,492,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,492,292 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 41,492,292 . The biggest common factor number is the GCF number.
So the greatest common factor 41,492,292 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 17/41, 64/492, 793/292

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 17/41, 64/492, 793/292?

Answer: LCM of Numerators as per given numbers 17/41, 64/492, 793/292 is

LCM of Numerators i.e. for 17,64,793 is 862784

GCF of denominators i.e. for 41,492,292 is 1.

Thus, LCM of Fractions is 862784.Finally, LCM of Fractions for 17/41, 64/492, 793/292 is 862784.