Given numbers are 780,714,762,950,450

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

The LCM of 780,714,762,950,450 is 3359619900.

Find LCM of 780,714,762,950,450 with Prime Factorization

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

2 x 3 x 5 x 5 x 26 x 119 x 127 x 19 x 3 = 3359619900

Therefore, the lowest common multiple of 780,714,762,950,450 is 3359619900.

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 714 x 762 x 950 x 450 = 181419474600000

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

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

762 : 1, 2, 3, 6, 127, 254, 381, 762

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,714,762,950,450, is 2.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

714:2x 3x 7x 17

762:2x 3x 127

950:2x 5x 5x 19

450:2x 3x 3x 5x 5

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 3x 5x 5x 5 = 27000

Therefore, the value for common factors is 27000.

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 = 181419474600000/(2x27000)

LCM = 181419474600000/54000

LCM = 3359619900

Thus, we can understand that the LCM of 780,714,762,950,450 is 3359619900.

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

• LCM of 542, 334, 124, 745, 905
• LCM of 861, 196, 182, 787, 515
• LCM of 289, 359, 955, 841, 483
• LCM of 106, 665, 447, 478, 691
• LCM of 209, 130, 190, 767, 214

1. What is the LCM of 780, 714, 762, 950, 450?

Answer: LCM of 780, 714, 762, 950, 450 is 3359619900.

2. How to calculate the LCM of 780, 714, 762, 950, 450?

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, 714, 762, 950, 450.

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}.