Given numbers are 364,236,646

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

The LCM of 364,236,646 is 6936748.

Find LCM of 364,236,646 with Prime Factorization

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

2 x 2 x 91 x 59 x 323 = 6936748

Therefore, the lowest common multiple of 364,236,646 is 6936748.

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.

364 x 236 x 646 = 55493984

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

236 : 1, 2, 4, 59, 118, 236

646 : 1, 2, 17, 19, 34, 38, 323, 646

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,236,646, is 2.

Now, the common factors can be found like this.

364:2x 2x 7x 13

236:2x 2x 59

646:2x 17x 19

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 = 55493984/(2x4)

LCM = 55493984/8

LCM = 6936748

Thus, we can understand that the LCM of 364,236,646 is 6936748.

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

• LCM of 284, 298, 716
• LCM of 711, 357, 367
• LCM of 908, 435, 608
• LCM of 954, 317, 478
• LCM of 549, 883, 297

1. What is the LCM of 364, 236, 646?

Answer: LCM of 364, 236, 646 is 6936748.

2. How to calculate the LCM of 364, 236, 646?

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 364, 236, 646.

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}.