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LCM of 410, 337, 611, 436, 471

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


Find the LCM of 410, 337, 611, 436, 471 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 410, 337, 611, 436, 471. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 410,337,611,436,471

Given numbers are 410,337,611,436,471

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

The LCM of 410,337,611,436,471 is 8668268767860.

Find LCM of 410,337,611,436,471 with Prime Factorization


2 410, 337, 611, 436, 471
205, 337, 611, 218, 471

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

2 x 205 x 337 x 611 x 218 x 471 = 8668268767860

Therefore, the lowest common multiple of 410,337,611,436,471 is 8668268767860.

LCM Formula to Find Lowest Common Multiple of 410,337,611,436,471

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.

410 x 337 x 611 x 436 x 471 = 17336537535720

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.

410 : 1, 2, 5, 10, 41, 82, 205, 410

337 : 1, 337

611 : 1, 13, 47, 611

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

471 : 1, 3, 157, 471

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 410,337,611,436,471, is 1.

Now, the common factors can be found like this.

410:2x 5x 41

337:337

611:13x 47

436:2x 2x 109

471:3x 157

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

2 = 2

Therefore, the value for common factors is 2.

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 = 17336537535720/(1x2)

LCM = 17336537535720/2

LCM = 8668268767860

Thus, we can understand that the LCM of 410,337,611,436,471 is 8668268767860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 410, 337, 611, 436, 471

1. What is the LCM of 410, 337, 611, 436, 471?

Answer: LCM of 410, 337, 611, 436, 471 is 8668268767860.

2. How to calculate the LCM of 410, 337, 611, 436, 471?

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 410, 337, 611, 436, 471.

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}.