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LCM of 916, 608, 201, 266, 656

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


Find the LCM of 916, 608, 201, 266, 656 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, 608, 201, 266, 656. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 916,608,201,266,656

Given numbers are 916,608,201,266,656

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

The LCM of 916,608,201,266,656 is 8031876384.

Find LCM of 916,608,201,266,656 with Prime Factorization


2 916, 608, 201, 266, 656
2 458, 304, 201, 133, 328
2 229, 152, 201, 133, 164
2 229, 76, 201, 133, 82
19 229, 38, 201, 133, 41
229, 2, 201, 7, 41

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

2 x 2 x 2 x 2 x 19 x 229 x 2 x 201 x 7 x 41 = 8031876384

Therefore, the lowest common multiple of 916,608,201,266,656 is 8031876384.

LCM Formula to Find Lowest Common Multiple of 916,608,201,266,656

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 608 x 201 x 266 x 656 = 19533523365888

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

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

201 : 1, 3, 67, 201

266 : 1, 2, 7, 14, 19, 38, 133, 266

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,608,201,266,656, is 1.

Now, the common factors can be found like this.

916:2x 2x 229

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

201:3x 67

266:2x 7x 19

656:2x 2x 2x 2x 41

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 19 = 2432

Therefore, the value for common factors is 2432.

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 = 19533523365888/(1x2432)

LCM = 19533523365888/2432

LCM = 8031876384

Thus, we can understand that the LCM of 916,608,201,266,656 is 8031876384.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 916, 608, 201, 266, 656

1. What is the LCM of 916, 608, 201, 266, 656?

Answer: LCM of 916, 608, 201, 266, 656 is 8031876384.

2. How to calculate the LCM of 916, 608, 201, 266, 656?

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, 608, 201, 266, 656.

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}.