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LCM of 755, 436, 578, 611, 408

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


Find the LCM of 755, 436, 578, 611, 408 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 755, 436, 578, 611, 408. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 755,436,578,611,408

Given numbers are 755,436,578,611,408

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

The LCM of 755,436,578,611,408 is 348757651320.

Find LCM of 755,436,578,611,408 with Prime Factorization


2 755, 436, 578, 611, 408
2 755, 218, 289, 611, 204
17 755, 109, 289, 611, 102
755, 109, 17, 611, 6

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

2 x 2 x 17 x 755 x 109 x 17 x 611 x 6 = 348757651320

Therefore, the lowest common multiple of 755,436,578,611,408 is 348757651320.

LCM Formula to Find Lowest Common Multiple of 755,436,578,611,408

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.

755 x 436 x 578 x 611 x 408 = 47431040579520

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.

755 : 1, 5, 151, 755

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

578 : 1, 2, 17, 34, 289, 578

611 : 1, 13, 47, 611

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 755,436,578,611,408, is 1.

Now, the common factors can be found like this.

755:5x 151

436:2x 2x 109

578:2x 17x 17

611:13x 47

408:2x 2x 2x 3x 17

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 17 = 136

Therefore, the value for common factors is 136.

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 = 47431040579520/(1x136)

LCM = 47431040579520/136

LCM = 348757651320

Thus, we can understand that the LCM of 755,436,578,611,408 is 348757651320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 755, 436, 578, 611, 408

1. What is the LCM of 755, 436, 578, 611, 408?

Answer: LCM of 755, 436, 578, 611, 408 is 348757651320.

2. How to calculate the LCM of 755, 436, 578, 611, 408?

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 755, 436, 578, 611, 408.

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}.