Least Common Multiple of 67/16, 61/32, 65/76, 25/397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/16, 61/32, 65/76, 25/397 quickly i.e. 1328275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/16, 61/32, 65/76, 25/397 is 1328275.

LCM(67/16, 61/32, 65/76, 25/397) = 1328275

LCM of 67/16, 61/32, 65/76, 25/397

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 67/16,61/32,65/76,25/397

Given numbers are 67/16,61/32,65/76,25/397

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 67,61,65,25

Least Common Multiple of Numerators i.e. LCM of 67,61,65,25 is 1328275.

GCF of Denominators means GCF of 16,32,76,397 as per the given fractions.

GCF of 16,32,76,397 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,61,65,25

LCM of Fractions 67/16,61/32,65/76,25/397 is 1328275

5 67, 61, 65, 25
67, 61, 13, 5

∴ So the LCM of the given numbers is 5 x 67 x 61 x 13 x 5 = 1328275

Least Common Multiple of 67,61,65,25 with GCF Formula

Least Common Multiple of 67,61,65,25 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 67,61,65,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,61,65,25) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(67,61,65,25) x common factors =1 x 5 = 5

LCM(67,61,65,25) = ( 67 × 61 × 65 × 25 ) / 5

LCM(67,61,65,25) = 6641375 / 5

LCM(67,61,65,25) = 1328275


Lets's calculate GCF of 16,32,76,397

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1328275/1

Therefore the LCM of Fractions 67/16,61/32,65/76,25/397 is 1328275

Greatest Common Factor of 16,32,76,397 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,32,76,397 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Greatest Common Factor

We found the factors 16,32,76,397 . The biggest common factor number is the GCF number.
So the greatest common factor 16,32,76,397 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 67/16, 61/32, 65/76, 25/397

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 67/16, 61/32, 65/76, 25/397?

Answer: LCM of Numerators as per given numbers 67/16, 61/32, 65/76, 25/397 is

LCM of Numerators i.e. for 67,61,65,25 is 1328275

GCF of denominators i.e. for 16,32,76,397 is 1.

Thus, LCM of Fractions is 1328275.Finally, LCM of Fractions for 67/16, 61/32, 65/76, 25/397 is 1328275.