Given numbers are 722,155,312

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

The LCM of 722,155,312 is 17457960.

Find LCM of 722,155,312 with Prime Factorization

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

2 x 361 x 155 x 156 = 17457960

Therefore, the lowest common multiple of 722,155,312 is 17457960.

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.

722 x 155 x 312 = 34915920

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.

722 : 1, 2, 19, 38, 361, 722

155 : 1, 5, 31, 155

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,155,312, is 1.

Now, the common factors can be found like this.

722:2x 19x 19

155:5x 31

312:2x 2x 2x 3x 13

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 = 34915920/(1x2)

LCM = 34915920/2

LCM = 17457960

Thus, we can understand that the LCM of 722,155,312 is 17457960.

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

• LCM of 115, 792, 539
• LCM of 995, 431, 274
• LCM of 379, 903, 429
• LCM of 483, 737, 830
• LCM of 837, 146, 469

1. What is the LCM of 722, 155, 312?

Answer: LCM of 722, 155, 312 is 17457960.

2. How to calculate the LCM of 722, 155, 312?

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 722, 155, 312.

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}.