Given numbers are 236,104,334,117,312

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

The LCM of 236,104,334,117,312 is 9222408.

Find LCM of 236,104,334,117,312 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 59 x 1 x 167 x 1 x 3 = 9222408

Therefore, the lowest common multiple of 236,104,334,117,312 is 9222408.

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.

236 x 104 x 334 x 117 x 312 = 299248694784

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.

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

334 : 1, 2, 167, 334

117 : 1, 3, 9, 13, 39, 117

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,104,334,117,312, is 1.

Now, the common factors can be found like this.

236:2x 2x 59

104:2x 2x 2x 13

334:2x 167

117:3x 3x 13

312:2x 2x 2x 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.

2x 2x 2x 2x 2x 2x 3x 13x 13 = 32448

Therefore, the value for common factors is 32448.

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 = 299248694784/(1x32448)

LCM = 299248694784/32448

LCM = 9222408

Thus, we can understand that the LCM of 236,104,334,117,312 is 9222408.

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

• LCM of 137, 189, 511, 283, 978
• LCM of 232, 110, 116, 540, 224
• LCM of 120, 440, 176, 328, 616
• LCM of 442, 425, 784, 101, 938
• LCM of 604, 356, 315, 819, 865

1. What is the LCM of 236, 104, 334, 117, 312?

Answer: LCM of 236, 104, 334, 117, 312 is 9222408.

2. How to calculate the LCM of 236, 104, 334, 117, 312?

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 236, 104, 334, 117, 312.

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}.