Given numbers are 299,689,247,748

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

The LCM of 299,689,247,748 is 225217564.

Find LCM of 299,689,247,748 with Prime Factorization

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

13 x 23 x 53 x 19 x 748 = 225217564

Therefore, the lowest common multiple of 299,689,247,748 is 225217564.

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.

299 x 689 x 247 x 748 = 38061768316

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.

299 : 1, 13, 23, 299

689 : 1, 13, 53, 689

247 : 1, 13, 19, 247

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,689,247,748, is 1.

Now, the common factors can be found like this.

299:13x 23

689:13x 53

247:13x 19

748:2x 2x 11x 17

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 38061768316/(1x169)

LCM = 38061768316/169

LCM = 225217564

Thus, we can understand that the LCM of 299,689,247,748 is 225217564.

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

• LCM of 548, 280, 617, 367
• LCM of 142, 696, 205, 699
• LCM of 109, 913, 247, 988
• LCM of 447, 803, 457, 752
• LCM of 733, 179, 614, 528

1. What is the LCM of 299, 689, 247, 748?

Answer: LCM of 299, 689, 247, 748 is 225217564.

2. How to calculate the LCM of 299, 689, 247, 748?

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 299, 689, 247, 748.

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}.