Least Common Multiple of 195/60, 701/80, 261/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 195/60, 701/80, 261/544 quickly i.e. 11892465/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 195/60, 701/80, 261/544 is 11892465/4.

LCM(195/60, 701/80, 261/544) = 11892465/4

LCM of 195/60, 701/80, 261/544

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 195/60,701/80,261/544

Given numbers are 195/60,701/80,261/544

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 195,701,261

Least Common Multiple of Numerators i.e. LCM of 195,701,261 is 11892465.

GCF of Denominators means GCF of 60,80,544 as per the given fractions.

GCF of 60,80,544 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 195,701,261

LCM of Fractions 195/60,701/80,261/544 is 11892465/4

3 195, 701, 261
65, 701, 87

∴ So the LCM of the given numbers is 3 x 65 x 701 x 87 = 11892465

Least Common Multiple of 195,701,261 with GCF Formula

Least Common Multiple of 195,701,261 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 195,701,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(195,701,261) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(195,701,261) x common factors =1 x 3 = 3

LCM(195,701,261) = ( 195 × 701 × 261 ) / 3

LCM(195,701,261) = 35677395 / 3

LCM(195,701,261) = 11892465


Lets's calculate GCF of 60,80,544

2 60, 80, 544
2 30, 40, 272
15, 20, 136

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11892465/4

Therefore the LCM of Fractions 195/60,701/80,261/544 is 11892465/4

Greatest Common Factor of 60,80,544 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,80,544 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Greatest Common Factor

We found the factors 60,80,544 . The biggest common factor number is the GCF number.
So the greatest common factor 60,80,544 is 4.


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 195/60, 701/80, 261/544

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 195/60, 701/80, 261/544?

Answer: LCM of Numerators as per given numbers 195/60, 701/80, 261/544 is

LCM of Numerators i.e. for 195,701,261 is 11892465

GCF of denominators i.e. for 60,80,544 is 4.

Thus, LCM of Fractions is 11892465/4.Finally, LCM of Fractions for 195/60, 701/80, 261/544 is 11892465/4.