Least Common Multiple of 16/210, 39/556, 587/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/210, 39/556, 587/357 quickly i.e. 366288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/210, 39/556, 587/357 is 366288.

LCM(16/210, 39/556, 587/357) = 366288

LCM of 16/210, 39/556, 587/357

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 16/210,39/556,587/357

Given numbers are 16/210,39/556,587/357

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 16,39,587

Least Common Multiple of Numerators i.e. LCM of 16,39,587 is 366288.

GCF of Denominators means GCF of 210,556,357 as per the given fractions.

GCF of 210,556,357 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,39,587

LCM of Fractions 16/210,39/556,587/357 is 366288

Given numbers has no common factors except 1. So, there LCM is their product i.e 366288

Least Common Multiple of 16,39,587 with GCF Formula

Least Common Multiple of 16,39,587 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 16,39,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,39,587) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(16,39,587) x common factors =1 x 1 = 1

LCM(16,39,587) = ( 16 × 39 × 587 ) / 1

LCM(16,39,587) = 366288 / 1

LCM(16,39,587) = 366288


Lets's calculate GCF of 210,556,357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 366288/1

Therefore the LCM of Fractions 16/210,39/556,587/357 is 366288

Greatest Common Factor of 210,556,357 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,556,357 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Greatest Common Factor

We found the factors 210,556,357 . The biggest common factor number is the GCF number.
So the greatest common factor 210,556,357 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 16/210, 39/556, 587/357

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 16/210, 39/556, 587/357?

Answer: LCM of Numerators as per given numbers 16/210, 39/556, 587/357 is

LCM of Numerators i.e. for 16,39,587 is 366288

GCF of denominators i.e. for 210,556,357 is 1.

Thus, LCM of Fractions is 366288.Finally, LCM of Fractions for 16/210, 39/556, 587/357 is 366288.