Given numbers are 224,717,816,364

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

The LCM of 224,717,816,364 is 35494368.

Find LCM of 224,717,816,364 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 7 x 2 x 239 x 17 x 13 = 35494368

Therefore, the lowest common multiple of 224,717,816,364 is 35494368.

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.

224 x 717 x 816 x 364 = 47704430592

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.

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

717 : 1, 3, 239, 717

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,717,816,364, is 1.

Now, the common factors can be found like this.

224:2x 2x 2x 2x 2x 7

717:3x 239

816:2x 2x 2x 2x 3x 17

364:2x 2x 7x 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 7 = 1344

Therefore, the value for common factors is 1344.

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 = 47704430592/(1x1344)

LCM = 47704430592/1344

LCM = 35494368

Thus, we can understand that the LCM of 224,717,816,364 is 35494368.

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

• LCM of 623, 594, 636, 289
• LCM of 750, 194, 778, 762
• LCM of 605, 533, 726, 291
• LCM of 597, 756, 576, 267
• LCM of 859, 284, 340, 428

1. What is the LCM of 224, 717, 816, 364?

Answer: LCM of 224, 717, 816, 364 is 35494368.

2. How to calculate the LCM of 224, 717, 816, 364?

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 224, 717, 816, 364.

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}.