Least Common Multiple of 16/61, 16/235, 218/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/61, 16/235, 218/690 quickly i.e. 1744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/61, 16/235, 218/690 is 1744.

LCM(16/61, 16/235, 218/690) = 1744

LCM of 16/61, 16/235, 218/690

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 16/61,16/235,218/690

Given numbers are 16/61,16/235,218/690

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 16,16,218

Least Common Multiple of Numerators i.e. LCM of 16,16,218 is 1744.

GCF of Denominators means GCF of 61,235,690 as per the given fractions.

GCF of 61,235,690 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,16,218

LCM of Fractions 16/61,16/235,218/690 is 1744

2 16, 16, 218
2 8, 8, 109
2 4, 4, 109
2 2, 2, 109
1, 1, 109

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 1 x 109 = 1744

Least Common Multiple of 16,16,218 with GCF Formula

Least Common Multiple of 16,16,218 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 16,16,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,16,218) = 2

common factors(in case of two or more numbers have common factors) = 16

GCF(16,16,218) x common factors =2 x 16 = 32

LCM(16,16,218) = ( 16 × 16 × 218 ) / 32

LCM(16,16,218) = 55808 / 32

LCM(16,16,218) = 1744


Lets's calculate GCF of 61,235,690

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1744/1

Therefore the LCM of Fractions 16/61,16/235,218/690 is 1744

Greatest Common Factor of 61,235,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,235,690 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 61,235,690 . The biggest common factor number is the GCF number.
So the greatest common factor 61,235,690 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 16/61, 16/235, 218/690

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 16/61, 16/235, 218/690?

Answer: LCM of Numerators as per given numbers 16/61, 16/235, 218/690 is

LCM of Numerators i.e. for 16,16,218 is 1744

GCF of denominators i.e. for 61,235,690 is 1.

Thus, LCM of Fractions is 1744.Finally, LCM of Fractions for 16/61, 16/235, 218/690 is 1744.