Given numbers are 712,21,764

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

The LCM of 712,21,764 is 2855832.

Find LCM of 712,21,764 with Prime Factorization

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

2 x 2 x 178 x 21 x 191 = 2855832

Therefore, the lowest common multiple of 712,21,764 is 2855832.

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.

712 x 21 x 764 = 11423328

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.

712 : 1, 2, 4, 8, 89, 178, 356, 712

21 : 1, 3, 7, 21

764 : 1, 2, 4, 191, 382, 764

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 712,21,764, is 1.

Now, the common factors can be found like this.

712:2x 2x 2x 89

21:3x 7

764:2x 2x 191

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 = 11423328/(1x4)

LCM = 11423328/4

LCM = 2855832

Thus, we can understand that the LCM of 712,21,764 is 2855832.

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

• LCM of 251, 86, 817
• LCM of 854, 81, 391
• LCM of 304, 64, 453
• LCM of 866, 80, 535
• LCM of 941, 10, 511

1. What is the LCM of 712, 21, 764?

Answer: LCM of 712, 21, 764 is 2855832.

2. How to calculate the LCM of 712, 21, 764?

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 712, 21, 764.

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}.