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LCM of 916, 264, 546, 415, 464

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


Find the LCM of 916, 264, 546, 415, 464 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 916, 264, 546, 415, 464. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 916,264,546,415,464

Given numbers are 916,264,546,415,464

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

The LCM of 916,264,546,415,464 is 132421008720.

Find LCM of 916,264,546,415,464 with Prime Factorization


2 916, 264, 546, 415, 464
2 458, 132, 273, 415, 232
2 229, 66, 273, 415, 116
3 229, 33, 273, 415, 58
229, 11, 91, 415, 58

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

2 x 2 x 2 x 3 x 229 x 11 x 91 x 415 x 58 = 132421008720

Therefore, the lowest common multiple of 916,264,546,415,464 is 132421008720.

LCM Formula to Find Lowest Common Multiple of 916,264,546,415,464

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.

916 x 264 x 546 x 415 x 464 = 25424833674240

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.

916 : 1, 2, 4, 229, 458, 916

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

415 : 1, 5, 83, 415

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,264,546,415,464, is 1.

Now, the common factors can be found like this.

916:2x 2x 229

264:2x 2x 2x 3x 11

546:2x 3x 7x 13

415:5x 83

464:2x 2x 2x 2x 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 2x 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 25424833674240/(1x192)

LCM = 25424833674240/192

LCM = 132421008720

Thus, we can understand that the LCM of 916,264,546,415,464 is 132421008720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 916, 264, 546, 415, 464

1. What is the LCM of 916, 264, 546, 415, 464?

Answer: LCM of 916, 264, 546, 415, 464 is 132421008720.

2. How to calculate the LCM of 916, 264, 546, 415, 464?

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 916, 264, 546, 415, 464.

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}.