Given numbers are 957,585,750,224,264

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

The LCM of 957,585,750,224,264 is 1045044000.

Find LCM of 957,585,750,224,264 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 11 x 29 x 39 x 25 x 28 x 1 = 1045044000

Therefore, the lowest common multiple of 957,585,750,224,264 is 1045044000.

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.

957 x 585 x 750 x 224 x 264 = 24830245440000

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.

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

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,585,750,224,264, is 1.

Now, the common factors can be found like this.

957:3x 11x 29

585:3x 3x 5x 13

750:2x 3x 5x 5x 5

224:2x 2x 2x 2x 2x 7

264:2x 2x 2x 3x 11

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 3x 3x 5x 11 = 23760

Therefore, the value for common factors is 23760.

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 = 24830245440000/(1x23760)

LCM = 24830245440000/23760

LCM = 1045044000

Thus, we can understand that the LCM of 957,585,750,224,264 is 1045044000.

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

• LCM of 166, 516, 531, 936, 174
• LCM of 240, 210, 111, 125, 626
• LCM of 677, 213, 499, 885, 369
• LCM of 637, 600, 767, 550, 790
• LCM of 191, 161, 384, 871, 982

1. What is the LCM of 957, 585, 750, 224, 264?

Answer: LCM of 957, 585, 750, 224, 264 is 1045044000.

2. How to calculate the LCM of 957, 585, 750, 224, 264?

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 957, 585, 750, 224, 264.

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}.