Least Common Multiple of 16/150, 21/698, 818/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/150, 21/698, 818/149 quickly i.e. 137424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/150, 21/698, 818/149 is 137424.

LCM(16/150, 21/698, 818/149) = 137424

LCM of 16/150, 21/698, 818/149

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 16/150,21/698,818/149

Given numbers are 16/150,21/698,818/149

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 16,21,818

Least Common Multiple of Numerators i.e. LCM of 16,21,818 is 137424.

GCF of Denominators means GCF of 150,698,149 as per the given fractions.

GCF of 150,698,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,21,818

LCM of Fractions 16/150,21/698,818/149 is 137424

2 16, 21, 818
8, 21, 409

∴ So the LCM of the given numbers is 2 x 8 x 21 x 409 = 137424

Least Common Multiple of 16,21,818 with GCF Formula

Least Common Multiple of 16,21,818 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 16,21,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,21,818) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(16,21,818) x common factors =1 x 2 = 2

LCM(16,21,818) = ( 16 × 21 × 818 ) / 2

LCM(16,21,818) = 274848 / 2

LCM(16,21,818) = 137424


Lets's calculate GCF of 150,698,149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137424/1

Therefore the LCM of Fractions 16/150,21/698,818/149 is 137424

Greatest Common Factor of 150,698,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,698,149 By Matching Biggest Common Factor Method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 150,698,149 . The biggest common factor number is the GCF number.
So the greatest common factor 150,698,149 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 16/150, 21/698, 818/149

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 16/150, 21/698, 818/149?

Answer: LCM of Numerators as per given numbers 16/150, 21/698, 818/149 is

LCM of Numerators i.e. for 16,21,818 is 137424

GCF of denominators i.e. for 150,698,149 is 1.

Thus, LCM of Fractions is 137424.Finally, LCM of Fractions for 16/150, 21/698, 818/149 is 137424.