Least Common Multiple of 67/17, 85/66, 37/78, 97/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/17, 85/66, 37/78, 97/500 quickly i.e. 20439355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/17, 85/66, 37/78, 97/500 is 20439355.

LCM(67/17, 85/66, 37/78, 97/500) = 20439355

LCM of 67/17, 85/66, 37/78, 97/500

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 67/17,85/66,37/78,97/500

Given numbers are 67/17,85/66,37/78,97/500

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 67,85,37,97

Least Common Multiple of Numerators i.e. LCM of 67,85,37,97 is 20439355.

GCF of Denominators means GCF of 17,66,78,500 as per the given fractions.

GCF of 17,66,78,500 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,85,37,97

LCM of Fractions 67/17,85/66,37/78,97/500 is 20439355

Given numbers has no common factors except 1. So, there LCM is their product i.e 20439355

Least Common Multiple of 67,85,37,97 with GCF Formula

Least Common Multiple of 67,85,37,97 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 67,85,37,97 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,85,37,97) = 1

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

GCF(67,85,37,97) x common factors =1 x 1 = 1

LCM(67,85,37,97) = ( 67 × 85 × 37 × 97 ) / 1

LCM(67,85,37,97) = 20439355 / 1

LCM(67,85,37,97) = 20439355


Lets's calculate GCF of 17,66,78,500

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20439355/1

Therefore the LCM of Fractions 67/17,85/66,37/78,97/500 is 20439355

Greatest Common Factor of 17,66,78,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,66,78,500 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 17,66,78,500 . The biggest common factor number is the GCF number.
So the greatest common factor 17,66,78,500 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 67/17, 85/66, 37/78, 97/500

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 67/17, 85/66, 37/78, 97/500?

Answer: LCM of Numerators as per given numbers 67/17, 85/66, 37/78, 97/500 is

LCM of Numerators i.e. for 67,85,37,97 is 20439355

GCF of denominators i.e. for 17,66,78,500 is 1.

Thus, LCM of Fractions is 20439355.Finally, LCM of Fractions for 67/17, 85/66, 37/78, 97/500 is 20439355.