Least Common Multiple of 17/733, 81/629, 293/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/733, 81/629, 293/840 quickly i.e. 403461 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/733, 81/629, 293/840 is 403461.

LCM(17/733, 81/629, 293/840) = 403461

LCM of 17/733, 81/629, 293/840

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 17/733,81/629,293/840

Given numbers are 17/733,81/629,293/840

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 17,81,293

Least Common Multiple of Numerators i.e. LCM of 17,81,293 is 403461.

GCF of Denominators means GCF of 733,629,840 as per the given fractions.

GCF of 733,629,840 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,81,293

LCM of Fractions 17/733,81/629,293/840 is 403461

Given numbers has no common factors except 1. So, there LCM is their product i.e 403461

Least Common Multiple of 17,81,293 with GCF Formula

Least Common Multiple of 17,81,293 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 17,81,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,81,293) = 1

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

GCF(17,81,293) x common factors =1 x 1 = 1

LCM(17,81,293) = ( 17 × 81 × 293 ) / 1

LCM(17,81,293) = 403461 / 1

LCM(17,81,293) = 403461


Lets's calculate GCF of 733,629,840

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 403461/1

Therefore the LCM of Fractions 17/733,81/629,293/840 is 403461

Greatest Common Factor of 733,629,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 733,629,840 By Matching Biggest Common Factor Method

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 733,629,840 . The biggest common factor number is the GCF number.
So the greatest common factor 733,629,840 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 17/733, 81/629, 293/840

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 17/733, 81/629, 293/840?

Answer: LCM of Numerators as per given numbers 17/733, 81/629, 293/840 is

LCM of Numerators i.e. for 17,81,293 is 403461

GCF of denominators i.e. for 733,629,840 is 1.

Thus, LCM of Fractions is 403461.Finally, LCM of Fractions for 17/733, 81/629, 293/840 is 403461.