Least Common Multiple of 67/735, 17/639, 533/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/735, 17/639, 533/240 quickly i.e. 607087/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/735, 17/639, 533/240 is 607087/3.

LCM(67/735, 17/639, 533/240) = 607087/3

LCM of 67/735, 17/639, 533/240

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 67/735,17/639,533/240

Given numbers are 67/735,17/639,533/240

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 67,17,533

Least Common Multiple of Numerators i.e. LCM of 67,17,533 is 607087.

GCF of Denominators means GCF of 735,639,240 as per the given fractions.

GCF of 735,639,240 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,17,533

LCM of Fractions 67/735,17/639,533/240 is 607087/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 607087

Least Common Multiple of 67,17,533 with GCF Formula

Least Common Multiple of 67,17,533 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 67,17,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,17,533) = 1

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

GCF(67,17,533) x common factors =1 x 1 = 1

LCM(67,17,533) = ( 67 × 17 × 533 ) / 1

LCM(67,17,533) = 607087 / 1

LCM(67,17,533) = 607087


Lets's calculate GCF of 735,639,240

3 735, 639, 240
245, 213, 80

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 607087/3

Therefore the LCM of Fractions 67/735,17/639,533/240 is 607087/3

Greatest Common Factor of 735,639,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,639,240 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 735,639,240 . The biggest common factor number is the GCF number.
So the greatest common factor 735,639,240 is 3.


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 67/735, 17/639, 533/240

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 67/735, 17/639, 533/240?

Answer: LCM of Numerators as per given numbers 67/735, 17/639, 533/240 is

LCM of Numerators i.e. for 67,17,533 is 607087

GCF of denominators i.e. for 735,639,240 is 3.

Thus, LCM of Fractions is 607087/3.Finally, LCM of Fractions for 67/735, 17/639, 533/240 is 607087/3.