Least Common Multiple of 87/32, 70/60, 20/16, 98/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/32, 70/60, 20/16, 98/400 quickly i.e. 21315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/32, 70/60, 20/16, 98/400 is 21315.

LCM(87/32, 70/60, 20/16, 98/400) = 21315

LCM of 87/32, 70/60, 20/16, 98/400

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 87/32,70/60,20/16,98/400

Given numbers are 87/32,70/60,20/16,98/400

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 87,70,20,98

Least Common Multiple of Numerators i.e. LCM of 87,70,20,98 is 85260.

GCF of Denominators means GCF of 32,60,16,400 as per the given fractions.

GCF of 32,60,16,400 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,70,20,98

LCM of Fractions 87/32,70/60,20/16,98/400 is 21315

2 87, 70, 20, 98
5 87, 35, 10, 49
7 87, 7, 2, 49
87, 1, 2, 7

∴ So the LCM of the given numbers is 2 x 5 x 7 x 87 x 1 x 2 x 7 = 85260

Least Common Multiple of 87,70,20,98 with GCF Formula

Least Common Multiple of 87,70,20,98 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 87,70,20,98 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,70,20,98) = 1

common factors(in case of two or more numbers have common factors) = 140

GCF(87,70,20,98) x common factors =1 x 140 = 140

LCM(87,70,20,98) = ( 87 × 70 × 20 × 98 ) / 140

LCM(87,70,20,98) = 11936400 / 140

LCM(87,70,20,98) = 85260


Lets's calculate GCF of 32,60,16,400

2 32, 60, 16, 400
2 16, 30, 8, 200
4, 15, 8, 100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85260/4

Therefore the LCM of Fractions 87/32,70/60,20/16,98/400 is 21315

Greatest Common Factor of 32,60,16,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,60,16,400 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

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 16

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

1,2,4,8,16

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 32,60,16,400 . The biggest common factor number is the GCF number.
So the greatest common factor 32,60,16,400 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 87/32, 70/60, 20/16, 98/400

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 87/32, 70/60, 20/16, 98/400?

Answer: LCM of Numerators as per given numbers 87/32, 70/60, 20/16, 98/400 is

LCM of Numerators i.e. for 87,70,20,98 is 85260

GCF of denominators i.e. for 32,60,16,400 is 4.

Thus, LCM of Fractions is 21315.Finally, LCM of Fractions for 87/32, 70/60, 20/16, 98/400 is 21315.