Given numbers are 249,313,969

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

The LCM of 249,313,969 is 25173651.

Find LCM of 249,313,969 with Prime Factorization

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

3 x 83 x 313 x 323 = 25173651

Therefore, the lowest common multiple of 249,313,969 is 25173651.

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 313 x 969 = 75520953

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

313 : 1, 313

969 : 1, 3, 17, 19, 51, 57, 323, 969

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,313,969, is 1.

Now, the common factors can be found like this.

249:3x 83

313:313

969:3x 17x 19

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

3 = 3

Therefore, the value for common factors is 3.

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 = 75520953/(1x3)

LCM = 75520953/3

LCM = 25173651

Thus, we can understand that the LCM of 249,313,969 is 25173651.

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

• LCM of 512, 397, 966
• LCM of 513, 893, 642
• LCM of 206, 326, 238
• LCM of 103, 238, 957
• LCM of 779, 370, 194

1. What is the LCM of 249, 313, 969?

Answer: LCM of 249, 313, 969 is 25173651.

2. How to calculate the LCM of 249, 313, 969?

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, 313, 969.

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}.