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LCM of 549, 732, 663, 880, 261

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


Find the LCM of 549, 732, 663, 880, 261 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 549, 732, 663, 880, 261. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 549,732,663,880,261

Given numbers are 549,732,663,880,261

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

The LCM of 549,732,663,880,261 is 3096316080.

Find LCM of 549,732,663,880,261 with Prime Factorization


2 549, 732, 663, 880, 261
2 549, 366, 663, 440, 261
3 549, 183, 663, 220, 261
3 61, 183, 221, 220, 87
61 61, 61, 221, 220, 29
1, 1, 221, 220, 29

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

2 x 2 x 3 x 3 x 61 x 1 x 1 x 221 x 220 x 29 = 3096316080

Therefore, the lowest common multiple of 549,732,663,880,261 is 3096316080.

LCM Formula to Find Lowest Common Multiple of 549,732,663,880,261

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.

549 x 732 x 663 x 880 x 261 = 61195591005120

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.

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

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

663 : 1, 3, 13, 17, 39, 51, 221, 663

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

261 : 1, 3, 9, 29, 87, 261

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,732,663,880,261, is 1.

Now, the common factors can be found like this.

549:3x 3x 61

732:2x 2x 3x 61

663:3x 13x 17

880:2x 2x 2x 2x 5x 11

261:3x 3x 29

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 3x 3x 3x 3x 61 = 19764

Therefore, the value for common factors is 19764.

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 = 61195591005120/(1x19764)

LCM = 61195591005120/19764

LCM = 3096316080

Thus, we can understand that the LCM of 549,732,663,880,261 is 3096316080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 549, 732, 663, 880, 261

1. What is the LCM of 549, 732, 663, 880, 261?

Answer: LCM of 549, 732, 663, 880, 261 is 3096316080.

2. How to calculate the LCM of 549, 732, 663, 880, 261?

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 549, 732, 663, 880, 261.

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}.