Given numbers are 900,528,770,772

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

The LCM of 900,528,770,772 is 53499600.

Find LCM of 900,528,770,772 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 15 x 4 x 7 x 193 = 53499600

Therefore, the lowest common multiple of 900,528,770,772 is 53499600.

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.

900 x 528 x 770 x 772 = 282477888000

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.

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

772 : 1, 2, 4, 193, 386, 772

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,528,770,772, is 2.

Now, the common factors can be found like this.

900:2x 2x 3x 3x 5x 5

528:2x 2x 2x 2x 3x 11

770:2x 5x 7x 11

772:2x 2x 193

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 2x 3x 5x 11 = 2640

Therefore, the value for common factors is 2640.

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 = 282477888000/(2x2640)

LCM = 282477888000/5280

LCM = 53499600

Thus, we can understand that the LCM of 900,528,770,772 is 53499600.

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

• LCM of 211, 465, 218, 613
• LCM of 434, 158, 185, 655
• LCM of 150, 227, 501, 667
• LCM of 312, 180, 715, 687
• LCM of 888, 802, 775, 167

1. What is the LCM of 900, 528, 770, 772?

Answer: LCM of 900, 528, 770, 772 is 53499600.

2. How to calculate the LCM of 900, 528, 770, 772?

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 900, 528, 770, 772.

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}.