Given numbers are 780,782,906,417

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

The LCM of 780,782,906,417 is 6401225220.

Find LCM of 780,782,906,417 with Prime Factorization

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

2 x 3 x 130 x 391 x 151 x 139 = 6401225220

Therefore, the lowest common multiple of 780,782,906,417 is 6401225220.

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 782 x 906 x 417 = 230444107920

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

782 : 1, 2, 17, 23, 34, 46, 391, 782

906 : 1, 2, 3, 6, 151, 302, 453, 906

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,782,906,417, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

782:2x 17x 23

906:2x 3x 151

417:3x 139

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 230444107920/(1x36)

LCM = 230444107920/36

LCM = 6401225220

Thus, we can understand that the LCM of 780,782,906,417 is 6401225220.

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

• LCM of 981, 969, 507, 972
• LCM of 264, 362, 568, 957
• LCM of 483, 431, 719, 856
• LCM of 904, 536, 800, 524
• LCM of 583, 883, 367, 976

1. What is the LCM of 780, 782, 906, 417?

Answer: LCM of 780, 782, 906, 417 is 6401225220.

2. How to calculate the LCM of 780, 782, 906, 417?

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, 782, 906, 417.

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}.