Given numbers are 780,735,722,906

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

The LCM of 780,735,722,906 is 2083410420.

Find LCM of 780,735,722,906 with Prime Factorization

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

2 x 3 x 5 x 26 x 49 x 361 x 151 = 2083410420

Therefore, the lowest common multiple of 780,735,722,906 is 2083410420.

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 735 x 722 x 906 = 375013875600

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

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

722 : 1, 2, 19, 38, 361, 722

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,735,722,906, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

735:3x 5x 7x 7

722:2x 19x 19

906:2x 3x 151

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 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 375013875600/(1x180)

LCM = 375013875600/180

LCM = 2083410420

Thus, we can understand that the LCM of 780,735,722,906 is 2083410420.

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

• LCM of 105, 969, 860, 651
• LCM of 217, 662, 918, 604
• LCM of 305, 879, 693, 182
• LCM of 561, 558, 807, 842
• LCM of 504, 871, 508, 140

1. What is the LCM of 780, 735, 722, 906?

Answer: LCM of 780, 735, 722, 906 is 2083410420.

2. How to calculate the LCM of 780, 735, 722, 906?

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, 735, 722, 906.

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}.