Least Common Multiple of 87/57, 45/51, 699/60

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/57, 45/51, 699/60 quickly i.e. 101355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/57, 45/51, 699/60 is 101355.

LCM(87/57, 45/51, 699/60) = 101355

LCM of 87/57, 45/51, 699/60

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 87/57,45/51,699/60

Given numbers are 87/57,45/51,699/60

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 87,45,699

Least Common Multiple of Numerators i.e. LCM of 87,45,699 is 304065.

GCF of Denominators means GCF of 57,51,60 as per the given fractions.

GCF of 57,51,60 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,45,699

LCM of Fractions 87/57,45/51,699/60 is 101355

3 87, 45, 699
29, 15, 233

∴ So the LCM of the given numbers is 3 x 29 x 15 x 233 = 304065

Least Common Multiple of 87,45,699 with GCF Formula

Least Common Multiple of 87,45,699 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 87,45,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,45,699) = 3

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

GCF(87,45,699) x common factors =3 x 3 = 9

LCM(87,45,699) = ( 87 × 45 × 699 ) / 9

LCM(87,45,699) = 2736585 / 9

LCM(87,45,699) = 304065


Lets's calculate GCF of 57,51,60

3 57, 51, 60
19, 17, 20

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 304065/3

Therefore the LCM of Fractions 87/57,45/51,699/60 is 101355

Greatest Common Factor of 57,51,60 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,51,60 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

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

Greatest Common Factor

We found the factors 57,51,60 . The biggest common factor number is the GCF number.
So the greatest common factor 57,51,60 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 87/57, 45/51, 699/60

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 87/57, 45/51, 699/60?

Answer: LCM of Numerators as per given numbers 87/57, 45/51, 699/60 is

LCM of Numerators i.e. for 87,45,699 is 304065

GCF of denominators i.e. for 57,51,60 is 3.

Thus, LCM of Fractions is 101355.Finally, LCM of Fractions for 87/57, 45/51, 699/60 is 101355.