Given numbers are 440,461,228,689

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

The LCM of 440,461,228,689 is 7966135320.

Find LCM of 440,461,228,689 with Prime Factorization

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

2 x 2 x 110 x 461 x 57 x 689 = 7966135320

Therefore, the lowest common multiple of 440,461,228,689 is 7966135320.

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 461 x 228 x 689 = 31864541280

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

461 : 1, 461

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,461,228,689, is 1.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

461:461

228:2x 2x 3x 19

689:13x 53

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 = 31864541280/(1x4)

LCM = 31864541280/4

LCM = 7966135320

Thus, we can understand that the LCM of 440,461,228,689 is 7966135320.

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

• LCM of 845, 999, 603, 662
• LCM of 492, 732, 144, 332
• LCM of 566, 972, 921, 770
• LCM of 719, 311, 153, 706
• LCM of 665, 117, 715, 251

1. What is the LCM of 440, 461, 228, 689?

Answer: LCM of 440, 461, 228, 689 is 7966135320.

2. How to calculate the LCM of 440, 461, 228, 689?

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, 461, 228, 689.

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}.