Given numbers are 730,616,774,151,523

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

The LCM of 730,616,774,151,523 is 6871683966840.

Find LCM of 730,616,774,151,523 with Prime Factorization

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

2 x 365 x 308 x 387 x 151 x 523 = 6871683966840

Therefore, the lowest common multiple of 730,616,774,151,523 is 6871683966840.

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 616 x 774 x 151 x 523 = 27486735867360

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

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

151 : 1, 151

523 : 1, 523

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,616,774,151,523, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

616:2x 2x 2x 7x 11

774:2x 3x 3x 43

151:151

523:523

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 = 27486735867360/(1x4)

LCM = 27486735867360/4

LCM = 6871683966840

Thus, we can understand that the LCM of 730,616,774,151,523 is 6871683966840.

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

• LCM of 115, 711, 922, 150, 728
• LCM of 952, 907, 460, 521, 192
• LCM of 239, 168, 343, 513, 897
• LCM of 978, 342, 103, 351, 512
• LCM of 257, 902, 335, 522, 732

1. What is the LCM of 730, 616, 774, 151, 523?

Answer: LCM of 730, 616, 774, 151, 523 is 6871683966840.

2. How to calculate the LCM of 730, 616, 774, 151, 523?

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, 616, 774, 151, 523.

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}.