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LCM of 464, 904, 657, 616, 549

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


Find the LCM of 464, 904, 657, 616, 549 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, 904, 657, 616, 549. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 464,904,657,616,549

Given numbers are 464,904,657,616,549

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

The LCM of 464,904,657,616,549 is 161801429328.

Find LCM of 464,904,657,616,549 with Prime Factorization


2 464, 904, 657, 616, 549
2 232, 452, 657, 308, 549
2 116, 226, 657, 154, 549
3 58, 113, 657, 77, 549
3 58, 113, 219, 77, 183
58, 113, 73, 77, 61

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

2 x 2 x 2 x 3 x 3 x 58 x 113 x 73 x 77 x 61 = 161801429328

Therefore, the lowest common multiple of 464,904,657,616,549 is 161801429328.

LCM Formula to Find Lowest Common Multiple of 464,904,657,616,549

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 904 x 657 x 616 x 549 = 93197623292928

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

904 : 1, 2, 4, 8, 113, 226, 452, 904

657 : 1, 3, 9, 73, 219, 657

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

549 : 1, 3, 9, 61, 183, 549

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,904,657,616,549, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

904:2x 2x 2x 113

657:3x 3x 73

616:2x 2x 2x 7x 11

549:3x 3x 61

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 2x 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 93197623292928/(1x576)

LCM = 93197623292928/576

LCM = 161801429328

Thus, we can understand that the LCM of 464,904,657,616,549 is 161801429328.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 464, 904, 657, 616, 549

1. What is the LCM of 464, 904, 657, 616, 549?

Answer: LCM of 464, 904, 657, 616, 549 is 161801429328.

2. How to calculate the LCM of 464, 904, 657, 616, 549?

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, 904, 657, 616, 549.

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}.