Given numbers are 628,142,689

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

The LCM of 628,142,689 is 30721132.

Find LCM of 628,142,689 with Prime Factorization

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

2 x 314 x 71 x 689 = 30721132

Therefore, the lowest common multiple of 628,142,689 is 30721132.

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.

628 x 142 x 689 = 61442264

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.

628 : 1, 2, 4, 157, 314, 628

142 : 1, 2, 71, 142

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,142,689, is 1.

Now, the common factors can be found like this.

628:2x 2x 157

142:2x 71

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 61442264/(1x2)

LCM = 61442264/2

LCM = 30721132

Thus, we can understand that the LCM of 628,142,689 is 30721132.

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

• LCM of 422, 881, 271
• LCM of 214, 649, 649
• LCM of 251, 361, 905
• LCM of 593, 392, 233
• LCM of 216, 228, 117

1. What is the LCM of 628, 142, 689?

Answer: LCM of 628, 142, 689 is 30721132.

2. How to calculate the LCM of 628, 142, 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 628, 142, 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}.