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LCM of 916, 509, 320, 608, 675

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


Find the LCM of 916, 509, 320, 608, 675 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, 509, 320, 608, 675. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 916,509,320,608,675

Given numbers are 916,509,320,608,675

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

The LCM of 916,509,320,608,675 is 95673268800.

Find LCM of 916,509,320,608,675 with Prime Factorization


2 916, 509, 320, 608, 675
2 458, 509, 160, 304, 675
2 229, 509, 80, 152, 675
2 229, 509, 40, 76, 675
2 229, 509, 20, 38, 675
5 229, 509, 10, 19, 675
229, 509, 2, 19, 135

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

2 x 2 x 2 x 2 x 2 x 5 x 229 x 509 x 2 x 19 x 135 = 95673268800

Therefore, the lowest common multiple of 916,509,320,608,675 is 95673268800.

LCM Formula to Find Lowest Common Multiple of 916,509,320,608,675

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 509 x 320 x 608 x 675 = 61230892032000

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

509 : 1, 509

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,509,320,608,675, is 1.

Now, the common factors can be found like this.

916:2x 2x 229

509:509

320:2x 2x 2x 2x 2x 2x 5

608:2x 2x 2x 2x 2x 19

675:3x 3x 3x 5x 5

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 2x 5 = 640

Therefore, the value for common factors is 640.

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 = 61230892032000/(1x640)

LCM = 61230892032000/640

LCM = 95673268800

Thus, we can understand that the LCM of 916,509,320,608,675 is 95673268800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 916, 509, 320, 608, 675

1. What is the LCM of 916, 509, 320, 608, 675?

Answer: LCM of 916, 509, 320, 608, 675 is 95673268800.

2. How to calculate the LCM of 916, 509, 320, 608, 675?

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, 509, 320, 608, 675.

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}.