Given numbers are 730,214,924,302

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

The LCM of 730,214,924,302 is 5449109820.

Find LCM of 730,214,924,302 with Prime Factorization

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

2 x 365 x 107 x 462 x 151 = 5449109820

Therefore, the lowest common multiple of 730,214,924,302 is 5449109820.

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.

730 x 214 x 924 x 302 = 43592878560

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.

730 : 1, 2, 5, 10, 73, 146, 365, 730

214 : 1, 2, 107, 214

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

302 : 1, 2, 151, 302

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,214,924,302, is 2.

Now, the common factors can be found like this.

730:2x 5x 73

214:2x 107

924:2x 2x 3x 7x 11

302:2x 151

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 43592878560/(2x4)

LCM = 43592878560/8

LCM = 5449109820

Thus, we can understand that the LCM of 730,214,924,302 is 5449109820.

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

• LCM of 547, 191, 548, 780
• LCM of 311, 957, 581, 540
• LCM of 962, 742, 505, 906
• LCM of 796, 398, 623, 179
• LCM of 852, 646, 152, 364

1. What is the LCM of 730, 214, 924, 302?

Answer: LCM of 730, 214, 924, 302 is 5449109820.

2. How to calculate the LCM of 730, 214, 924, 302?

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 730, 214, 924, 302.

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}.