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LCM of 436, 408, 856, 298, 652

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


Find the LCM of 436, 408, 856, 298, 652 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 436, 408, 856, 298, 652. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 436,408,856,298,652

Given numbers are 436,408,856,298,652

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

The LCM of 436,408,856,298,652 is 115569786648.

Find LCM of 436,408,856,298,652 with Prime Factorization


2 436, 408, 856, 298, 652
2 218, 204, 428, 149, 326
2 109, 102, 214, 149, 163
109, 51, 107, 149, 163

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

2 x 2 x 2 x 109 x 51 x 107 x 149 x 163 = 115569786648

Therefore, the lowest common multiple of 436,408,856,298,652 is 115569786648.

LCM Formula to Find Lowest Common Multiple of 436,408,856,298,652

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.

436 x 408 x 856 x 298 x 652 = 29585865381888

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.

436 : 1, 2, 4, 109, 218, 436

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

856 : 1, 2, 4, 8, 107, 214, 428, 856

298 : 1, 2, 149, 298

652 : 1, 2, 4, 163, 326, 652

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 436,408,856,298,652, is 2.

Now, the common factors can be found like this.

436:2x 2x 109

408:2x 2x 2x 3x 17

856:2x 2x 2x 107

298:2x 149

652:2x 2x 163

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

2x 2x 2x 2x 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 29585865381888/(2x128)

LCM = 29585865381888/256

LCM = 115569786648

Thus, we can understand that the LCM of 436,408,856,298,652 is 115569786648.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 436, 408, 856, 298, 652

1. What is the LCM of 436, 408, 856, 298, 652?

Answer: LCM of 436, 408, 856, 298, 652 is 115569786648.

2. How to calculate the LCM of 436, 408, 856, 298, 652?

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 436, 408, 856, 298, 652.

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}.