Given numbers are 440,249,969

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

The LCM of 440,249,969 is 35387880.

Find LCM of 440,249,969 with Prime Factorization

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

3 x 440 x 83 x 323 = 35387880

Therefore, the lowest common multiple of 440,249,969 is 35387880.

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.

440 x 249 x 969 = 106163640

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.

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

249 : 1, 3, 83, 249

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 440,249,969, is 1.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

249:3x 83

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 = 106163640/(1x3)

LCM = 106163640/3

LCM = 35387880

Thus, we can understand that the LCM of 440,249,969 is 35387880.

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

• LCM of 315, 570, 490
• LCM of 821, 192, 985
• LCM of 858, 864, 242
• LCM of 983, 706, 271
• LCM of 859, 841, 157

1. What is the LCM of 440, 249, 969?

Answer: LCM of 440, 249, 969 is 35387880.

2. How to calculate the LCM of 440, 249, 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 440, 249, 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}.