Given numbers are 900,528,752,457

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

The LCM of 900,528,752,457 is 850568400.

Find LCM of 900,528,752,457 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 75 x 11 x 47 x 457 = 850568400

Therefore, the lowest common multiple of 900,528,752,457 is 850568400.

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 752 x 457 = 163309132800

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

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,528,752,457, is 1.

Now, the common factors can be found like this.

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

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

752:2x 2x 2x 2x 47

457:457

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 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 163309132800/(1x192)

LCM = 163309132800/192

LCM = 850568400

Thus, we can understand that the LCM of 900,528,752,457 is 850568400.

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

• LCM of 524, 339, 988, 976
• LCM of 442, 637, 667, 777
• LCM of 360, 504, 744, 690
• LCM of 471, 689, 638, 260
• LCM of 821, 566, 389, 114

1. What is the LCM of 900, 528, 752, 457?

Answer: LCM of 900, 528, 752, 457 is 850568400.

2. How to calculate the LCM of 900, 528, 752, 457?

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, 752, 457.

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}.