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LCM of 407, 586, 564, 286, 435

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


Find the LCM of 407, 586, 564, 286, 435 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 407, 586, 564, 286, 435. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 407,586,564,286,435

Given numbers are 407,586,564,286,435

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

The LCM of 407,586,564,286,435 is 126780508140.

Find LCM of 407,586,564,286,435 with Prime Factorization


2 407, 586, 564, 286, 435
3 407, 293, 282, 143, 435
11 407, 293, 94, 143, 145
37, 293, 94, 13, 145

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

2 x 3 x 11 x 37 x 293 x 94 x 13 x 145 = 126780508140

Therefore, the lowest common multiple of 407,586,564,286,435 is 126780508140.

LCM Formula to Find Lowest Common Multiple of 407,586,564,286,435

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.

407 x 586 x 564 x 286 x 435 = 16735027074480

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.

407 : 1, 11, 37, 407

586 : 1, 2, 293, 586

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

286 : 1, 2, 11, 13, 22, 26, 143, 286

435 : 1, 3, 5, 15, 29, 87, 145, 435

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,586,564,286,435, is 1.

Now, the common factors can be found like this.

407:11x 37

586:2x 293

564:2x 2x 3x 47

286:2x 11x 13

435:3x 5x 29

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 3x 11 = 132

Therefore, the value for common factors is 132.

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 = 16735027074480/(1x132)

LCM = 16735027074480/132

LCM = 126780508140

Thus, we can understand that the LCM of 407,586,564,286,435 is 126780508140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 407, 586, 564, 286, 435

1. What is the LCM of 407, 586, 564, 286, 435?

Answer: LCM of 407, 586, 564, 286, 435 is 126780508140.

2. How to calculate the LCM of 407, 586, 564, 286, 435?

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 407, 586, 564, 286, 435.

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}.