Least Common Multiple of 67/68, 366/91, 217/495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/68, 366/91, 217/495 quickly i.e. 5321274 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/68, 366/91, 217/495 is 5321274.

LCM(67/68, 366/91, 217/495) = 5321274

LCM of 67/68, 366/91, 217/495

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 67/68,366/91,217/495

Given numbers are 67/68,366/91,217/495

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 67,366,217

Least Common Multiple of Numerators i.e. LCM of 67,366,217 is 5321274.

GCF of Denominators means GCF of 68,91,495 as per the given fractions.

GCF of 68,91,495 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,366,217

LCM of Fractions 67/68,366/91,217/495 is 5321274

Given numbers has no common factors except 1. So, there LCM is their product i.e 5321274

Least Common Multiple of 67,366,217 with GCF Formula

Least Common Multiple of 67,366,217 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 67,366,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,366,217) = 1

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

GCF(67,366,217) x common factors =1 x 1 = 1

LCM(67,366,217) = ( 67 × 366 × 217 ) / 1

LCM(67,366,217) = 5321274 / 1

LCM(67,366,217) = 5321274


Lets's calculate GCF of 68,91,495

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5321274/1

Therefore the LCM of Fractions 67/68,366/91,217/495 is 5321274

Greatest Common Factor of 68,91,495 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,91,495 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Greatest Common Factor

We found the factors 68,91,495 . The biggest common factor number is the GCF number.
So the greatest common factor 68,91,495 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 67/68, 366/91, 217/495

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 67/68, 366/91, 217/495?

Answer: LCM of Numerators as per given numbers 67/68, 366/91, 217/495 is

LCM of Numerators i.e. for 67,366,217 is 5321274

GCF of denominators i.e. for 68,91,495 is 1.

Thus, LCM of Fractions is 5321274.Finally, LCM of Fractions for 67/68, 366/91, 217/495 is 5321274.