Given numbers are 816,294,924,545

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

The LCM of 816,294,924,545 is 239704080.

Find LCM of 816,294,924,545 with Prime Factorization

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

2 x 2 x 3 x 7 x 68 x 7 x 11 x 545 = 239704080

Therefore, the lowest common multiple of 816,294,924,545 is 239704080.

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 294 x 924 x 545 = 120810856320

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

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

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

545 : 1, 5, 109, 545

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,294,924,545, is 1.

Now, the common factors can be found like this.

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

294:2x 3x 7x 7

924:2x 2x 3x 7x 11

545:5x 109

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 7 = 504

Therefore, the value for common factors is 504.

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 = 120810856320/(1x504)

LCM = 120810856320/504

LCM = 239704080

Thus, we can understand that the LCM of 816,294,924,545 is 239704080.

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

• LCM of 293, 937, 901, 106
• LCM of 804, 294, 677, 225
• LCM of 846, 478, 712, 226
• LCM of 306, 974, 978, 149
• LCM of 447, 995, 331, 831

1. What is the LCM of 816, 294, 924, 545?

Answer: LCM of 816, 294, 924, 545 is 239704080.

2. How to calculate the LCM of 816, 294, 924, 545?

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, 294, 924, 545.

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}.