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LCM of 413, 612, 358, 190

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


Find the LCM of 413, 612, 358, 190 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 413, 612, 358, 190. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 413,612,358,190

Given numbers are 413,612,358,190

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

The LCM of 413,612,358,190 is 4298115780.

Find LCM of 413,612,358,190 with Prime Factorization


2 413, 612, 358, 190
413, 306, 179, 95

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

2 x 413 x 306 x 179 x 95 = 4298115780

Therefore, the lowest common multiple of 413,612,358,190 is 4298115780.

LCM Formula to Find Lowest Common Multiple of 413,612,358,190

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.

413 x 612 x 358 x 190 = 17192463120

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.

413 : 1, 7, 59, 413

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

358 : 1, 2, 179, 358

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,612,358,190, is 1.

Now, the common factors can be found like this.

413:7x 59

612:2x 2x 3x 3x 17

358:2x 179

190:2x 5x 19

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 17192463120/(1x4)

LCM = 17192463120/4

LCM = 4298115780

Thus, we can understand that the LCM of 413,612,358,190 is 4298115780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 413, 612, 358, 190

1. What is the LCM of 413, 612, 358, 190?

Answer: LCM of 413, 612, 358, 190 is 4298115780.

2. How to calculate the LCM of 413, 612, 358, 190?

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 413, 612, 358, 190.

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}.