Least Common Multiple of 16/418, 53/765, 106/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/418, 53/765, 106/187 quickly i.e. 848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/418, 53/765, 106/187 is 848.

LCM(16/418, 53/765, 106/187) = 848

LCM of 16/418, 53/765, 106/187

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 16/418,53/765,106/187

Given numbers are 16/418,53/765,106/187

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 16,53,106

Least Common Multiple of Numerators i.e. LCM of 16,53,106 is 848.

GCF of Denominators means GCF of 418,765,187 as per the given fractions.

GCF of 418,765,187 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,53,106

LCM of Fractions 16/418,53/765,106/187 is 848

2 16, 53, 106
53 8, 53, 53
8, 1, 1

∴ So the LCM of the given numbers is 2 x 53 x 8 x 1 x 1 = 848

Least Common Multiple of 16,53,106 with GCF Formula

Least Common Multiple of 16,53,106 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 16,53,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,53,106) = 1

common factors(in case of two or more numbers have common factors) = 106

GCF(16,53,106) x common factors =1 x 106 = 106

LCM(16,53,106) = ( 16 × 53 × 106 ) / 106

LCM(16,53,106) = 89888 / 106

LCM(16,53,106) = 848


Lets's calculate GCF of 418,765,187

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 848/1

Therefore the LCM of Fractions 16/418,53/765,106/187 is 848

Greatest Common Factor of 418,765,187 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,765,187 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Greatest Common Factor

We found the factors 418,765,187 . The biggest common factor number is the GCF number.
So the greatest common factor 418,765,187 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 16/418, 53/765, 106/187

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 16/418, 53/765, 106/187?

Answer: LCM of Numerators as per given numbers 16/418, 53/765, 106/187 is

LCM of Numerators i.e. for 16,53,106 is 848

GCF of denominators i.e. for 418,765,187 is 1.

Thus, LCM of Fractions is 848.Finally, LCM of Fractions for 16/418, 53/765, 106/187 is 848.