Given numbers are 916,329,377,326,814

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

The LCM of 916,329,377,326,814 is 7537281499748.

Find LCM of 916,329,377,326,814 with Prime Factorization

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

2 x 458 x 329 x 377 x 163 x 407 = 7537281499748

Therefore, the lowest common multiple of 916,329,377,326,814 is 7537281499748.

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 329 x 377 x 326 x 814 = 30149125998992

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

329 : 1, 7, 47, 329

377 : 1, 13, 29, 377

326 : 1, 2, 163, 326

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,329,377,326,814, is 1.

Now, the common factors can be found like this.

916:2x 2x 229

329:7x 47

377:13x 29

326:2x 163

814:2x 11x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 30149125998992/(1x4)

LCM = 30149125998992/4

LCM = 7537281499748

Thus, we can understand that the LCM of 916,329,377,326,814 is 7537281499748.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 166, 254, 165, 362, 943
• LCM of 456, 977, 653, 322, 975
• LCM of 387, 349, 167, 169, 455
• LCM of 117, 931, 429, 404, 498
• LCM of 148, 612, 314, 975, 260

1. What is the LCM of 916, 329, 377, 326, 814?

Answer: LCM of 916, 329, 377, 326, 814 is 7537281499748.

2. How to calculate the LCM of 916, 329, 377, 326, 814?

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, 329, 377, 326, 814.

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}.