Least Common Multiple of 63/70, 87/16, 80/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/70, 87/16, 80/300 quickly i.e. 73080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/70, 87/16, 80/300 is 73080.

LCM(63/70, 87/16, 80/300) = 73080

LCM of 63/70, 87/16, 80/300

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 63/70,87/16,80/300

Given numbers are 63/70,87/16,80/300

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 63,87,80

Least Common Multiple of Numerators i.e. LCM of 63,87,80 is 146160.

GCF of Denominators means GCF of 70,16,300 as per the given fractions.

GCF of 70,16,300 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,87,80

LCM of Fractions 63/70,87/16,80/300 is 73080

3 63, 87, 80
21, 29, 80

∴ So the LCM of the given numbers is 3 x 21 x 29 x 80 = 146160

Least Common Multiple of 63,87,80 with GCF Formula

Least Common Multiple of 63,87,80 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 63,87,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,87,80) = 1

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

GCF(63,87,80) x common factors =1 x 3 = 3

LCM(63,87,80) = ( 63 × 87 × 80 ) / 3

LCM(63,87,80) = 438480 / 3

LCM(63,87,80) = 146160


Lets's calculate GCF of 70,16,300

2 70, 16, 300
35, 8, 150

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146160/2

Therefore the LCM of Fractions 63/70,87/16,80/300 is 73080

Greatest Common Factor of 70,16,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,16,300 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 16

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

1,2,4,8,16

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 70,16,300 . The biggest common factor number is the GCF number.
So the greatest common factor 70,16,300 is 2.


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 63/70, 87/16, 80/300

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 63/70, 87/16, 80/300?

Answer: LCM of Numerators as per given numbers 63/70, 87/16, 80/300 is

LCM of Numerators i.e. for 63,87,80 is 146160

GCF of denominators i.e. for 70,16,300 is 2.

Thus, LCM of Fractions is 73080.Finally, LCM of Fractions for 63/70, 87/16, 80/300 is 73080.