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LCM of 480, 334, 323, 902, 612

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


Find the LCM of 480, 334, 323, 902, 612 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 480, 334, 323, 902, 612. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 480,334,323,902,612

Given numbers are 480,334,323,902,612

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

The LCM of 480,334,323,902,612 is 35031443040.

Find LCM of 480,334,323,902,612 with Prime Factorization


2 480, 334, 323, 902, 612
2 240, 167, 323, 451, 306
3 120, 167, 323, 451, 153
17 40, 167, 323, 451, 51
40, 167, 19, 451, 3

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

2 x 2 x 3 x 17 x 40 x 167 x 19 x 451 x 3 = 35031443040

Therefore, the lowest common multiple of 480,334,323,902,612 is 35031443040.

LCM Formula to Find Lowest Common Multiple of 480,334,323,902,612

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.

480 x 334 x 323 x 902 x 612 = 28585657520640

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.

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

334 : 1, 2, 167, 334

323 : 1, 17, 19, 323

902 : 1, 2, 11, 22, 41, 82, 451, 902

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,334,323,902,612, is 1.

Now, the common factors can be found like this.

480:2x 2x 2x 2x 2x 3x 5

334:2x 167

323:17x 19

902:2x 11x 41

612:2x 2x 3x 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 2x 3x 17 = 816

Therefore, the value for common factors is 816.

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 = 28585657520640/(1x816)

LCM = 28585657520640/816

LCM = 35031443040

Thus, we can understand that the LCM of 480,334,323,902,612 is 35031443040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 480, 334, 323, 902, 612

1. What is the LCM of 480, 334, 323, 902, 612?

Answer: LCM of 480, 334, 323, 902, 612 is 35031443040.

2. How to calculate the LCM of 480, 334, 323, 902, 612?

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 480, 334, 323, 902, 612.

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}.