Given numbers are 236,214,168,924,397

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

The LCM of 236,214,168,924,397 is 4631570328.

Find LCM of 236,214,168,924,397 with Prime Factorization

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

2 x 2 x 3 x 7 x 59 x 107 x 2 x 11 x 397 = 4631570328

Therefore, the lowest common multiple of 236,214,168,924,397 is 4631570328.

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 214 x 168 x 924 x 397 = 3112415260416

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

214 : 1, 2, 107, 214

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

397 : 1, 397

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,214,168,924,397, is 1.

Now, the common factors can be found like this.

236:2x 2x 59

214:2x 107

168:2x 2x 2x 3x 7

924:2x 2x 3x 7x 11

397:397

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 3x 7 = 672

Therefore, the value for common factors is 672.

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 = 3112415260416/(1x672)

LCM = 3112415260416/672

LCM = 4631570328

Thus, we can understand that the LCM of 236,214,168,924,397 is 4631570328.

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

• LCM of 172, 999, 370, 771, 945
• LCM of 722, 945, 629, 395, 495
• LCM of 904, 788, 426, 310, 541
• LCM of 656, 537, 335, 609, 614
• LCM of 108, 914, 722, 306, 758

1. What is the LCM of 236, 214, 168, 924, 397?

Answer: LCM of 236, 214, 168, 924, 397 is 4631570328.

2. How to calculate the LCM of 236, 214, 168, 924, 397?

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, 214, 168, 924, 397.

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}.