Given numbers are 780,390,149,371,765

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

The LCM of 780,390,149,371,765 is 2198998620.

Find LCM of 780,390,149,371,765 with Prime Factorization

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

2 x 3 x 5 x 13 x 2 x 1 x 149 x 371 x 51 = 2198998620

Therefore, the lowest common multiple of 780,390,149,371,765 is 2198998620.

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.

780 x 390 x 149 x 371 x 765 = 12864141927000

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.

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

149 : 1, 149

371 : 1, 7, 53, 371

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,390,149,371,765, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

390:2x 3x 5x 13

149:149

371:7x 53

765:3x 3x 5x 17

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

2x 3x 3x 5x 5x 13 = 5850

Therefore, the value for common factors is 5850.

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 = 12864141927000/(1x5850)

LCM = 12864141927000/5850

LCM = 2198998620

Thus, we can understand that the LCM of 780,390,149,371,765 is 2198998620.

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

• LCM of 421, 244, 921, 538, 507
• LCM of 357, 415, 666, 548, 695
• LCM of 794, 132, 253, 483, 929
• LCM of 521, 587, 110, 486, 316
• LCM of 265, 190, 596, 614, 923

1. What is the LCM of 780, 390, 149, 371, 765?

Answer: LCM of 780, 390, 149, 371, 765 is 2198998620.

2. How to calculate the LCM of 780, 390, 149, 371, 765?

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 780, 390, 149, 371, 765.

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}.