Given numbers are 775,780,400,973

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

The LCM of 775,780,400,973 is 470542800.

Find LCM of 775,780,400,973 with Prime Factorization

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

2 x 2 x 5 x 5 x 31 x 39 x 4 x 973 = 470542800

Therefore, the lowest common multiple of 775,780,400,973 is 470542800.

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.

775 x 780 x 400 x 973 = 235271400000

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.

775 : 1, 5, 25, 31, 155, 775

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

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

973 : 1, 7, 139, 973

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,780,400,973, is 1.

Now, the common factors can be found like this.

775:5x 5x 31

780:2x 2x 3x 5x 13

400:2x 2x 2x 2x 5x 5

973:7x 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 5x 5x 5 = 500

Therefore, the value for common factors is 500.

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 = 235271400000/(1x500)

LCM = 235271400000/500

LCM = 470542800

Thus, we can understand that the LCM of 775,780,400,973 is 470542800.

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

• LCM of 421, 849, 218, 290
• LCM of 153, 353, 619, 219
• LCM of 505, 725, 392, 540
• LCM of 494, 912, 623, 344
• LCM of 364, 643, 243, 374

1. What is the LCM of 775, 780, 400, 973?

Answer: LCM of 775, 780, 400, 973 is 470542800.

2. How to calculate the LCM of 775, 780, 400, 973?

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 775, 780, 400, 973.

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}.