Least Common Multiple of 66/87, 63/712, 120/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/87, 63/712, 120/542 quickly i.e. 27720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/87, 63/712, 120/542 is 27720.

LCM(66/87, 63/712, 120/542) = 27720

LCM of 66/87, 63/712, 120/542

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 66/87,63/712,120/542

Given numbers are 66/87,63/712,120/542

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 66,63,120

Least Common Multiple of Numerators i.e. LCM of 66,63,120 is 27720.

GCF of Denominators means GCF of 87,712,542 as per the given fractions.

GCF of 87,712,542 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,63,120

LCM of Fractions 66/87,63/712,120/542 is 27720

2 66, 63, 120
3 33, 63, 60
11, 21, 20

∴ So the LCM of the given numbers is 2 x 3 x 11 x 21 x 20 = 27720

Least Common Multiple of 66,63,120 with GCF Formula

Least Common Multiple of 66,63,120 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 66,63,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,63,120) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(66,63,120) x common factors =3 x 6 = 18

LCM(66,63,120) = ( 66 × 63 × 120 ) / 18

LCM(66,63,120) = 498960 / 18

LCM(66,63,120) = 27720


Lets's calculate GCF of 87,712,542

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27720/1

Therefore the LCM of Fractions 66/87,63/712,120/542 is 27720

Greatest Common Factor of 87,712,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,712,542 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Greatest Common Factor

We found the factors 87,712,542 . The biggest common factor number is the GCF number.
So the greatest common factor 87,712,542 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 66/87, 63/712, 120/542

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 66/87, 63/712, 120/542?

Answer: LCM of Numerators as per given numbers 66/87, 63/712, 120/542 is

LCM of Numerators i.e. for 66,63,120 is 27720

GCF of denominators i.e. for 87,712,542 is 1.

Thus, LCM of Fractions is 27720.Finally, LCM of Fractions for 66/87, 63/712, 120/542 is 27720.