Given numbers are 724,748,208

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

The LCM of 724,748,208 is 7040176.

Find LCM of 724,748,208 with Prime Factorization

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

2 x 2 x 181 x 187 x 52 = 7040176

Therefore, the lowest common multiple of 724,748,208 is 7040176.

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.

724 x 748 x 208 = 112642816

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.

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

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,748,208, is 4.

Now, the common factors can be found like this.

724:2x 2x 181

748:2x 2x 11x 17

208:2x 2x 2x 2x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 112642816/(4x4)

LCM = 112642816/16

LCM = 7040176

Thus, we can understand that the LCM of 724,748,208 is 7040176.

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

• LCM of 743, 985, 732
• LCM of 198, 424, 943
• LCM of 305, 348, 620
• LCM of 530, 923, 648
• LCM of 261, 802, 405

1. What is the LCM of 724, 748, 208?

Answer: LCM of 724, 748, 208 is 7040176.

2. How to calculate the LCM of 724, 748, 208?

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 724, 748, 208.

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}.