Given numbers are 291,252,195,172,964

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

The LCM of 291,252,195,172,964 is 16465356180.

Find LCM of 291,252,195,172,964 with Prime Factorization

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

2 x 2 x 3 x 97 x 21 x 65 x 43 x 241 = 16465356180

Therefore, the lowest common multiple of 291,252,195,172,964 is 16465356180.

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.

291 x 252 x 195 x 172 x 964 = 2371011289920

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.

291 : 1, 3, 97, 291

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

195 : 1, 3, 5, 13, 15, 39, 65, 195

172 : 1, 2, 4, 43, 86, 172

964 : 1, 2, 4, 241, 482, 964

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,252,195,172,964, is 1.

Now, the common factors can be found like this.

291:3x 97

252:2x 2x 3x 3x 7

195:3x 5x 13

172:2x 2x 43

964:2x 2x 241

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 3 = 144

Therefore, the value for common factors is 144.

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 = 2371011289920/(1x144)

LCM = 2371011289920/144

LCM = 16465356180

Thus, we can understand that the LCM of 291,252,195,172,964 is 16465356180.

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

• LCM of 786, 704, 342, 213, 151
• LCM of 293, 188, 745, 690, 385
• LCM of 192, 118, 359, 865, 147
• LCM of 103, 983, 422, 347, 260
• LCM of 125, 265, 986, 634, 975

1. What is the LCM of 291, 252, 195, 172, 964?

Answer: LCM of 291, 252, 195, 172, 964 is 16465356180.

2. How to calculate the LCM of 291, 252, 195, 172, 964?

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 291, 252, 195, 172, 964.

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}.