Given numbers are 692,214,150,412

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

The LCM of 692,214,150,412 is 571989900.

Find LCM of 692,214,150,412 with Prime Factorization

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

2 x 2 x 173 x 107 x 75 x 103 = 571989900

Therefore, the lowest common multiple of 692,214,150,412 is 571989900.

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.

692 x 214 x 150 x 412 = 9151838400

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.

692 : 1, 2, 4, 173, 346, 692

214 : 1, 2, 107, 214

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

412 : 1, 2, 4, 103, 206, 412

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,214,150,412, is 2.

Now, the common factors can be found like this.

692:2x 2x 173

214:2x 107

150:2x 3x 5x 5

412:2x 2x 103

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 2 = 8

Therefore, the value for common factors is 8.

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 = 9151838400/(2x8)

LCM = 9151838400/16

LCM = 571989900

Thus, we can understand that the LCM of 692,214,150,412 is 571989900.

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

• LCM of 895, 618, 518, 503
• LCM of 782, 898, 804, 182
• LCM of 154, 996, 335, 196
• LCM of 143, 565, 311, 529
• LCM of 975, 298, 607, 918

1. What is the LCM of 692, 214, 150, 412?

Answer: LCM of 692, 214, 150, 412 is 571989900.

2. How to calculate the LCM of 692, 214, 150, 412?

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 692, 214, 150, 412.

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}.