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LCM of 414, 551, 509, 184

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


Find the LCM of 414, 551, 509, 184 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 414, 551, 509, 184. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 414,551,509,184

Given numbers are 414,551,509,184

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

The LCM of 414,551,509,184 is 464440104.

Find LCM of 414,551,509,184 with Prime Factorization


2 414, 551, 509, 184
23 207, 551, 509, 92
9, 551, 509, 4

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

2 x 23 x 9 x 551 x 509 x 4 = 464440104

Therefore, the lowest common multiple of 414,551,509,184 is 464440104.

LCM Formula to Find Lowest Common Multiple of 414,551,509,184

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.

414 x 551 x 509 x 184 = 21364244784

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

551 : 1, 19, 29, 551

509 : 1, 509

184 : 1, 2, 4, 8, 23, 46, 92, 184

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,551,509,184, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

551:19x 29

509:509

184:2x 2x 2x 23

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 21364244784/(1x46)

LCM = 21364244784/46

LCM = 464440104

Thus, we can understand that the LCM of 414,551,509,184 is 464440104.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 414, 551, 509, 184

1. What is the LCM of 414, 551, 509, 184?

Answer: LCM of 414, 551, 509, 184 is 464440104.

2. How to calculate the LCM of 414, 551, 509, 184?

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 414, 551, 509, 184.

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}.