Given numbers are 216,724,174,107

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

The LCM of 216,724,174,107 is 121314888.

Find LCM of 216,724,174,107 with Prime Factorization

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

2 x 2 x 3 x 18 x 181 x 29 x 107 = 121314888

Therefore, the lowest common multiple of 216,724,174,107 is 121314888.

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.

216 x 724 x 174 x 107 = 2911557312

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.

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

724 : 1, 2, 4, 181, 362, 724

174 : 1, 2, 3, 6, 29, 58, 87, 174

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,724,174,107, is 1.

Now, the common factors can be found like this.

216:2x 2x 2x 3x 3x 3

724:2x 2x 181

174:2x 3x 29

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 3 = 24

Therefore, the value for common factors is 24.

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 = 2911557312/(1x24)

LCM = 2911557312/24

LCM = 121314888

Thus, we can understand that the LCM of 216,724,174,107 is 121314888.

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

• LCM of 707, 523, 973, 787
• LCM of 244, 258, 952, 725
• LCM of 728, 146, 379, 142
• LCM of 444, 710, 668, 812
• LCM of 970, 145, 414, 941

1. What is the LCM of 216, 724, 174, 107?

Answer: LCM of 216, 724, 174, 107 is 121314888.

2. How to calculate the LCM of 216, 724, 174, 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 216, 724, 174, 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}.