Given numbers are 432,975,944,275,107

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

The LCM of 432,975,944,275,107 is 9749797200.

Find LCM of 432,975,944,275,107 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 5 x 9 x 13 x 59 x 11 x 107 = 9749797200

Therefore, the lowest common multiple of 432,975,944,275,107 is 9749797200.

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.

432 x 975 x 944 x 275 x 107 = 11699756640000

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.

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

275 : 1, 5, 11, 25, 55, 275

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,975,944,275,107, is 1.

Now, the common factors can be found like this.

432:2x 2x 2x 2x 3x 3x 3

975:3x 5x 5x 13

944:2x 2x 2x 2x 59

275:5x 5x 11

107:107

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 5 = 1200

Therefore, the value for common factors is 1200.

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 = 11699756640000/(1x1200)

LCM = 11699756640000/1200

LCM = 9749797200

Thus, we can understand that the LCM of 432,975,944,275,107 is 9749797200.

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

• LCM of 132, 277, 891, 562, 960
• LCM of 156, 890, 595, 666, 505
• LCM of 199, 348, 994, 451, 129
• LCM of 682, 322, 146, 324, 904
• LCM of 824, 212, 181, 322, 633

1. What is the LCM of 432, 975, 944, 275, 107?

Answer: LCM of 432, 975, 944, 275, 107 is 9749797200.

2. How to calculate the LCM of 432, 975, 944, 275, 107?

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 432, 975, 944, 275, 107.

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}.