Given numbers are 872,756,374,172

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

The LCM of 872,756,374,172 is 1325221128.

Find LCM of 872,756,374,172 with Prime Factorization

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

2 x 2 x 218 x 189 x 187 x 43 = 1325221128

Therefore, the lowest common multiple of 872,756,374,172 is 1325221128.

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.

872 x 756 x 374 x 172 = 42407076096

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.

872 : 1, 2, 4, 8, 109, 218, 436, 872

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

374 : 1, 2, 11, 17, 22, 34, 187, 374

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,756,374,172, is 2.

Now, the common factors can be found like this.

872:2x 2x 2x 109

756:2x 2x 3x 3x 3x 7

374:2x 11x 17

172:2x 2x 43

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 2 = 16

Therefore, the value for common factors is 16.

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 = 42407076096/(2x16)

LCM = 42407076096/32

LCM = 1325221128

Thus, we can understand that the LCM of 872,756,374,172 is 1325221128.

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

• LCM of 150, 755, 642, 105
• LCM of 558, 340, 182, 985
• LCM of 674, 542, 280, 883
• LCM of 259, 330, 865, 830
• LCM of 475, 340, 858, 935

1. What is the LCM of 872, 756, 374, 172?

Answer: LCM of 872, 756, 374, 172 is 1325221128.

2. How to calculate the LCM of 872, 756, 374, 172?

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 872, 756, 374, 172.

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}.