Given numbers are 249,730,564,338

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

The LCM of 249,730,564,338 is 2887598220.

Find LCM of 249,730,564,338 with Prime Factorization

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

2 x 3 x 83 x 365 x 94 x 169 = 2887598220

Therefore, the lowest common multiple of 249,730,564,338 is 2887598220.

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 730 x 564 x 338 = 34651178640

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

730 : 1, 2, 5, 10, 73, 146, 365, 730

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,730,564,338, is 1.

Now, the common factors can be found like this.

249:3x 83

730:2x 5x 73

564:2x 2x 3x 47

338:2x 13x 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 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 34651178640/(1x12)

LCM = 34651178640/12

LCM = 2887598220

Thus, we can understand that the LCM of 249,730,564,338 is 2887598220.

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

• LCM of 534, 798, 499, 705
• LCM of 731, 251, 252, 893
• LCM of 431, 117, 798, 677
• LCM of 151, 536, 119, 838
• LCM of 705, 864, 574, 925

1. What is the LCM of 249, 730, 564, 338?

Answer: LCM of 249, 730, 564, 338 is 2887598220.

2. How to calculate the LCM of 249, 730, 564, 338?

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, 730, 564, 338.

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}.