Given numbers are 900,956,561,851,285

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

The LCM of 900,956,561,851,285 is 650377005300.

Find LCM of 900,956,561,851,285 with Prime Factorization

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

2 x 2 x 3 x 5 x 15 x 239 x 187 x 851 x 19 = 650377005300

Therefore, the lowest common multiple of 900,956,561,851,285 is 650377005300.

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 956 x 561 x 851 x 285 = 117067860954000

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

956 : 1, 2, 4, 239, 478, 956

561 : 1, 3, 11, 17, 33, 51, 187, 561

851 : 1, 23, 37, 851

285 : 1, 3, 5, 15, 19, 57, 95, 285

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,956,561,851,285, is 1.

Now, the common factors can be found like this.

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

956:2x 2x 239

561:3x 11x 17

851:23x 37

285:3x 5x 19

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 = 117067860954000/(1x180)

LCM = 117067860954000/180

LCM = 650377005300

Thus, we can understand that the LCM of 900,956,561,851,285 is 650377005300.

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

• LCM of 963, 915, 422, 910, 156
• LCM of 456, 565, 743, 496, 322
• LCM of 461, 805, 913, 933, 196
• LCM of 186, 863, 205, 294, 506
• LCM of 786, 299, 843, 803, 281

1. What is the LCM of 900, 956, 561, 851, 285?

Answer: LCM of 900, 956, 561, 851, 285 is 650377005300.

2. How to calculate the LCM of 900, 956, 561, 851, 285?

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, 956, 561, 851, 285.

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}.