Given numbers are 900,957,528,690

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

The LCM of 900,957,528,690 is 26413200.

Find LCM of 900,957,528,690 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 29 x 4 x 23 = 26413200

Therefore, the lowest common multiple of 900,957,528,690 is 26413200.

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 957 x 528 x 690 = 313788816000

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

957 : 1, 3, 11, 29, 33, 87, 319, 957

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

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,957,528,690, is 3.

Now, the common factors can be found like this.

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

957:3x 11x 29

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

690:2x 3x 5x 23

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 3x 3x 5x 11 = 3960

Therefore, the value for common factors is 3960.

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 = 313788816000/(3x3960)

LCM = 313788816000/11880

LCM = 26413200

Thus, we can understand that the LCM of 900,957,528,690 is 26413200.

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

• LCM of 535, 892, 644, 205
• LCM of 255, 290, 515, 373
• LCM of 939, 370, 561, 376
• LCM of 425, 890, 688, 385
• LCM of 791, 144, 135, 594

1. What is the LCM of 900, 957, 528, 690?

Answer: LCM of 900, 957, 528, 690 is 26413200.

2. How to calculate the LCM of 900, 957, 528, 690?

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, 957, 528, 690.

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}.