Given numbers are 363,213,247,936

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

The LCM of 363,213,247,936 is 152782344.

Find LCM of 363,213,247,936 with Prime Factorization

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

3 x 13 x 121 x 71 x 19 x 24 = 152782344

Therefore, the lowest common multiple of 363,213,247,936 is 152782344.

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.

363 x 213 x 247 x 936 = 17875534248

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.

363 : 1, 3, 11, 33, 121, 363

213 : 1, 3, 71, 213

247 : 1, 13, 19, 247

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,213,247,936, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

213:3x 71

247:13x 19

936:2x 2x 2x 3x 3x 13

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

3x 3x 13 = 117

Therefore, the value for common factors is 117.

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 = 17875534248/(1x117)

LCM = 17875534248/117

LCM = 152782344

Thus, we can understand that the LCM of 363,213,247,936 is 152782344.

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

• LCM of 277, 969, 155, 140
• LCM of 787, 436, 565, 169
• LCM of 981, 634, 428, 354
• LCM of 423, 113, 499, 393
• LCM of 179, 809, 841, 566

1. What is the LCM of 363, 213, 247, 936?

Answer: LCM of 363, 213, 247, 936 is 152782344.

2. How to calculate the LCM of 363, 213, 247, 936?

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 363, 213, 247, 936.

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}.