Least Common Multiple of 42/60, 80/64, 288/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/60, 80/64, 288/665 quickly i.e. 10080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/60, 80/64, 288/665 is 10080.

LCM(42/60, 80/64, 288/665) = 10080

LCM of 42/60, 80/64, 288/665

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 42/60,80/64,288/665

Given numbers are 42/60,80/64,288/665

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 42,80,288

Least Common Multiple of Numerators i.e. LCM of 42,80,288 is 10080.

GCF of Denominators means GCF of 60,64,665 as per the given fractions.

GCF of 60,64,665 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,80,288

LCM of Fractions 42/60,80/64,288/665 is 10080

2 42, 80, 288
2 21, 40, 144
2 21, 20, 72
2 21, 10, 36
3 21, 5, 18
7, 5, 6

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 7 x 5 x 6 = 10080

Least Common Multiple of 42,80,288 with GCF Formula

Least Common Multiple of 42,80,288 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 42,80,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,80,288) = 2

common factors(in case of two or more numbers have common factors) = 48

GCF(42,80,288) x common factors =2 x 48 = 96

LCM(42,80,288) = ( 42 × 80 × 288 ) / 96

LCM(42,80,288) = 967680 / 96

LCM(42,80,288) = 10080


Lets's calculate GCF of 60,64,665

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10080/1

Therefore the LCM of Fractions 42/60,80/64,288/665 is 10080

Greatest Common Factor of 60,64,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,64,665 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 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 60,64,665 . The biggest common factor number is the GCF number.
So the greatest common factor 60,64,665 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 42/60, 80/64, 288/665

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 42/60, 80/64, 288/665?

Answer: LCM of Numerators as per given numbers 42/60, 80/64, 288/665 is

LCM of Numerators i.e. for 42,80,288 is 10080

GCF of denominators i.e. for 60,64,665 is 1.

Thus, LCM of Fractions is 10080.Finally, LCM of Fractions for 42/60, 80/64, 288/665 is 10080.