Given numbers are 780,850,334,714,442

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

The LCM of 780,850,334,714,442 is 77504700.

Find LCM of 780,850,334,714,442 with Prime Factorization

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

2 x 3 x 5 x 13 x 17 x 2 x 5 x 167 x 7 x 1 = 77504700

Therefore, the lowest common multiple of 780,850,334,714,442 is 77504700.

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 850 x 334 x 714 x 442 = 69884437896000

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

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

334 : 1, 2, 167, 334

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

442 : 1, 2, 13, 17, 26, 34, 221, 442

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,850,334,714,442, is 2.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

850:2x 5x 5x 17

334:2x 167

714:2x 3x 7x 17

442:2x 13x 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 2x 2x 3x 5x 13x 17x 17 = 450840

Therefore, the value for common factors is 450840.

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 = 69884437896000/(2x450840)

LCM = 69884437896000/901680

LCM = 77504700

Thus, we can understand that the LCM of 780,850,334,714,442 is 77504700.

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

• LCM of 528, 730, 402, 747, 666
• LCM of 795, 943, 467, 630, 614
• LCM of 504, 547, 859, 460, 987
• LCM of 215, 566, 196, 486, 310
• LCM of 664, 932, 333, 186, 726

1. What is the LCM of 780, 850, 334, 714, 442?

Answer: LCM of 780, 850, 334, 714, 442 is 77504700.

2. How to calculate the LCM of 780, 850, 334, 714, 442?

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, 850, 334, 714, 442.

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}.