Given numbers are 219,312,366,975,418

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

The LCM of 219,312,366,975,418 is 7259280600.

Find LCM of 219,312,366,975,418 with Prime Factorization

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

2 x 3 x 13 x 73 x 4 x 61 x 25 x 209 = 7259280600

Therefore, the lowest common multiple of 219,312,366,975,418 is 7259280600.

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.

219 x 312 x 366 x 975 x 418 = 10192029962400

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.

219 : 1, 3, 73, 219

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

366 : 1, 2, 3, 6, 61, 122, 183, 366

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

418 : 1, 2, 11, 19, 22, 38, 209, 418

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 219,312,366,975,418, is 1.

Now, the common factors can be found like this.

219:3x 73

312:2x 2x 2x 3x 13

366:2x 3x 61

975:3x 5x 5x 13

418:2x 11x 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 2x 3x 3x 3x 13 = 1404

Therefore, the value for common factors is 1404.

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 = 10192029962400/(1x1404)

LCM = 10192029962400/1404

LCM = 7259280600

Thus, we can understand that the LCM of 219,312,366,975,418 is 7259280600.

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

• LCM of 538, 576, 259, 948, 327
• LCM of 847, 546, 653, 453, 703
• LCM of 499, 531, 127, 356, 715
• LCM of 575, 968, 461, 431, 765
• LCM of 492, 416, 753, 394, 455

1. What is the LCM of 219, 312, 366, 975, 418?

Answer: LCM of 219, 312, 366, 975, 418 is 7259280600.

2. How to calculate the LCM of 219, 312, 366, 975, 418?

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 219, 312, 366, 975, 418.

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}.