Least Common Multiple of 87/64, 466/19, 210/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/64, 466/19, 210/192 quickly i.e. 1418970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/64, 466/19, 210/192 is 1418970.

LCM(87/64, 466/19, 210/192) = 1418970

LCM of 87/64, 466/19, 210/192

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 87/64,466/19,210/192

Given numbers are 87/64,466/19,210/192

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 87,466,210

Least Common Multiple of Numerators i.e. LCM of 87,466,210 is 1418970.

GCF of Denominators means GCF of 64,19,192 as per the given fractions.

GCF of 64,19,192 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,466,210

LCM of Fractions 87/64,466/19,210/192 is 1418970

2 87, 466, 210
3 87, 233, 105
29, 233, 35

∴ So the LCM of the given numbers is 2 x 3 x 29 x 233 x 35 = 1418970

Least Common Multiple of 87,466,210 with GCF Formula

Least Common Multiple of 87,466,210 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 87,466,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,466,210) = 1

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

GCF(87,466,210) x common factors =1 x 6 = 6

LCM(87,466,210) = ( 87 × 466 × 210 ) / 6

LCM(87,466,210) = 8513820 / 6

LCM(87,466,210) = 1418970


Lets's calculate GCF of 64,19,192

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1418970/1

Therefore the LCM of Fractions 87/64,466/19,210/192 is 1418970

Greatest Common Factor of 64,19,192 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,19,192 By Matching Biggest Common Factor Method

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 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Greatest Common Factor

We found the factors 64,19,192 . The biggest common factor number is the GCF number.
So the greatest common factor 64,19,192 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 87/64, 466/19, 210/192

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 87/64, 466/19, 210/192?

Answer: LCM of Numerators as per given numbers 87/64, 466/19, 210/192 is

LCM of Numerators i.e. for 87,466,210 is 1418970

GCF of denominators i.e. for 64,19,192 is 1.

Thus, LCM of Fractions is 1418970.Finally, LCM of Fractions for 87/64, 466/19, 210/192 is 1418970.