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LCM of 190, 185, 151, 650, 365

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 190, 185, 151, 650, 365 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 190, 185, 151, 650, 365. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 190,185,151,650,365

Given numbers are 190,185,151,650,365

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 190,185,151,650,365 is 5036959850.

Find LCM of 190,185,151,650,365 with Prime Factorization


2 190, 185, 151, 650, 365
5 95, 185, 151, 325, 365
19, 37, 151, 65, 73

Multiply the prime numbers at the bottom and the left side.

2 x 5 x 19 x 37 x 151 x 65 x 73 = 5036959850

Therefore, the lowest common multiple of 190,185,151,650,365 is 5036959850.

LCM Formula to Find Lowest Common Multiple of 190,185,151,650,365

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

190 x 185 x 151 x 650 x 365 = 1259239962500

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

190 : 1, 2, 5, 10, 19, 38, 95, 190

185 : 1, 5, 37, 185

151 : 1, 151

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

365 : 1, 5, 73, 365

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 190,185,151,650,365, is 1.

Now, the common factors can be found like this.

190:2x 5x 19

185:5x 37

151:151

650:2x 5x 5x 13

365:5x 73

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5x 5x 5 = 250

Therefore, the value for common factors is 250.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 1259239962500/(1x250)

LCM = 1259239962500/250

LCM = 5036959850

Thus, we can understand that the LCM of 190,185,151,650,365 is 5036959850.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 190, 185, 151, 650, 365

1. What is the LCM of 190, 185, 151, 650, 365?

Answer: LCM of 190, 185, 151, 650, 365 is 5036959850.

2. How to calculate the LCM of 190, 185, 151, 650, 365?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 190, 185, 151, 650, 365.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.