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LCM of 472, 370, 707, 258, 559

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


Find the LCM of 472, 370, 707, 258, 559 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 472, 370, 707, 258, 559. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 472,370,707,258,559

Given numbers are 472,370,707,258,559

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

The LCM of 472,370,707,258,559 is 103529997480.

Find LCM of 472,370,707,258,559 with Prime Factorization


2 472, 370, 707, 258, 559
43 236, 185, 707, 129, 559
236, 185, 707, 3, 13

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

2 x 43 x 236 x 185 x 707 x 3 x 13 = 103529997480

Therefore, the lowest common multiple of 472,370,707,258,559 is 103529997480.

LCM Formula to Find Lowest Common Multiple of 472,370,707,258,559

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.

472 x 370 x 707 x 258 x 559 = 17807159566560

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.

472 : 1, 2, 4, 8, 59, 118, 236, 472

370 : 1, 2, 5, 10, 37, 74, 185, 370

707 : 1, 7, 101, 707

258 : 1, 2, 3, 6, 43, 86, 129, 258

559 : 1, 13, 43, 559

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 472,370,707,258,559, is 1.

Now, the common factors can be found like this.

472:2x 2x 2x 59

370:2x 5x 37

707:7x 101

258:2x 3x 43

559:13x 43

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 43 = 172

Therefore, the value for common factors is 172.

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 = 17807159566560/(1x172)

LCM = 17807159566560/172

LCM = 103529997480

Thus, we can understand that the LCM of 472,370,707,258,559 is 103529997480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 472, 370, 707, 258, 559

1. What is the LCM of 472, 370, 707, 258, 559?

Answer: LCM of 472, 370, 707, 258, 559 is 103529997480.

2. How to calculate the LCM of 472, 370, 707, 258, 559?

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 472, 370, 707, 258, 559.

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}.