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LCM of 464, 463, 219, 624, 611

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


Find the LCM of 464, 463, 219, 624, 611 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 464, 463, 219, 624, 611. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 464,463,219,624,611

Given numbers are 464,463,219,624,611

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

The LCM of 464,463,219,624,611 is 28746455088.

Find LCM of 464,463,219,624,611 with Prime Factorization


2 464, 463, 219, 624, 611
2 232, 463, 219, 312, 611
2 116, 463, 219, 156, 611
2 58, 463, 219, 78, 611
3 29, 463, 219, 39, 611
13 29, 463, 73, 13, 611
29, 463, 73, 1, 47

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

2 x 2 x 2 x 2 x 3 x 13 x 29 x 463 x 73 x 1 x 47 = 28746455088

Therefore, the lowest common multiple of 464,463,219,624,611 is 28746455088.

LCM Formula to Find Lowest Common Multiple of 464,463,219,624,611

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.

464 x 463 x 219 x 624 x 611 = 17937787974912

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

463 : 1, 463

219 : 1, 3, 73, 219

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

611 : 1, 13, 47, 611

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,463,219,624,611, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

463:463

219:3x 73

624:2x 2x 2x 2x 3x 13

611:13x 47

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 3x 13 = 624

Therefore, the value for common factors is 624.

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 = 17937787974912/(1x624)

LCM = 17937787974912/624

LCM = 28746455088

Thus, we can understand that the LCM of 464,463,219,624,611 is 28746455088.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 464, 463, 219, 624, 611

1. What is the LCM of 464, 463, 219, 624, 611?

Answer: LCM of 464, 463, 219, 624, 611 is 28746455088.

2. How to calculate the LCM of 464, 463, 219, 624, 611?

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 464, 463, 219, 624, 611.

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}.