Given numbers are 816,924,773,649,414

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

The LCM of 816,924,773,649,414 is 197724952656.

Find LCM of 816,924,773,649,414 with Prime Factorization

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

2 x 2 x 3 x 11 x 68 x 7 x 773 x 59 x 69 = 197724952656

Therefore, the lowest common multiple of 816,924,773,649,414 is 197724952656.

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.

816 x 924 x 773 x 649 x 414 = 156598162503552

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.

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

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

773 : 1, 773

649 : 1, 11, 59, 649

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,924,773,649,414, is 1.

Now, the common factors can be found like this.

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

924:2x 2x 3x 7x 11

773:773

649:11x 59

414:2x 3x 3x 23

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 3x 3x 11 = 792

Therefore, the value for common factors is 792.

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 = 156598162503552/(1x792)

LCM = 156598162503552/792

LCM = 197724952656

Thus, we can understand that the LCM of 816,924,773,649,414 is 197724952656.

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

• LCM of 778, 362, 423, 737, 747
• LCM of 173, 222, 501, 743, 945
• LCM of 804, 560, 311, 856, 509
• LCM of 183, 675, 162, 364, 371
• LCM of 145, 846, 598, 174, 898

1. What is the LCM of 816, 924, 773, 649, 414?

Answer: LCM of 816, 924, 773, 649, 414 is 197724952656.

2. How to calculate the LCM of 816, 924, 773, 649, 414?

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 816, 924, 773, 649, 414.

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}.