Given numbers are 249,460,428

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

The LCM of 249,460,428 is 12255780.

Find LCM of 249,460,428 with Prime Factorization

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

2 x 2 x 249 x 115 x 107 = 12255780

Therefore, the lowest common multiple of 249,460,428 is 12255780.

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.

249 x 460 x 428 = 49023120

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.

249 : 1, 3, 83, 249

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,460,428, is 1.

Now, the common factors can be found like this.

249:3x 83

460:2x 2x 5x 23

428:2x 2x 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 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 = 49023120/(1x4)

LCM = 49023120/4

LCM = 12255780

Thus, we can understand that the LCM of 249,460,428 is 12255780.

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

• LCM of 474, 970, 152
• LCM of 168, 161, 211
• LCM of 865, 601, 482
• LCM of 394, 313, 952
• LCM of 629, 912, 783

1. What is the LCM of 249, 460, 428?

Answer: LCM of 249, 460, 428 is 12255780.

2. How to calculate the LCM of 249, 460, 428?

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 249, 460, 428.

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}.