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LCM of 190, 925, 551, 813, 209

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


Find the LCM of 190, 925, 551, 813, 209 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, 925, 551, 813, 209. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 190,925,551,813,209

Given numbers are 190,925,551,813,209

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

The LCM of 190,925,551,813,209 is 9116047050.

Find LCM of 190,925,551,813,209 with Prime Factorization


5 190, 925, 551, 813, 209
19 38, 185, 551, 813, 209
2, 185, 29, 813, 11

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

5 x 19 x 2 x 185 x 29 x 813 x 11 = 9116047050

Therefore, the lowest common multiple of 190,925,551,813,209 is 9116047050.

LCM Formula to Find Lowest Common Multiple of 190,925,551,813,209

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 925 x 551 x 813 x 209 = 16454464925250

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

925 : 1, 5, 25, 37, 185, 925

551 : 1, 19, 29, 551

813 : 1, 3, 271, 813

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 190,925,551,813,209, is 1.

Now, the common factors can be found like this.

190:2x 5x 19

925:5x 5x 37

551:19x 29

813:3x 271

209:11x 19

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

5x 19x 19 = 1805

Therefore, the value for common factors is 1805.

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 = 16454464925250/(1x1805)

LCM = 16454464925250/1805

LCM = 9116047050

Thus, we can understand that the LCM of 190,925,551,813,209 is 9116047050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 190, 925, 551, 813, 209

1. What is the LCM of 190, 925, 551, 813, 209?

Answer: LCM of 190, 925, 551, 813, 209 is 9116047050.

2. How to calculate the LCM of 190, 925, 551, 813, 209?

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, 925, 551, 813, 209.

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}.