Given numbers are 79,11,11,74,724

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

The LCM of 79,11,11,74,724 is 23278772.

Find LCM of 79,11,11,74,724 with Prime Factorization

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

2 x 11 x 79 x 1 x 1 x 37 x 362 = 23278772

Therefore, the lowest common multiple of 79,11,11,74,724 is 23278772.

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.

79 x 11 x 11 x 74 x 724 = 512132984

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.

79 : 1, 79

11 : 1, 11

11 : 1, 11

74 : 1, 2, 37, 74

724 : 1, 2, 4, 181, 362, 724

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 79,11,11,74,724, is 1.

Now, the common factors can be found like this.

79:79

11:11

11:11

74:2x 37

724:2x 2x 181

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 512132984/(1x22)

LCM = 512132984/22

LCM = 23278772

Thus, we can understand that the LCM of 79,11,11,74,724 is 23278772.

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

• LCM of 31, 70, 47, 85, 235
• LCM of 64, 32, 81, 21, 398
• LCM of 41, 14, 80, 97, 459
• LCM of 93, 58, 97, 97, 822
• LCM of 16, 93, 55, 28, 766

1. What is the LCM of 79, 11, 11, 74, 724?

Answer: LCM of 79, 11, 11, 74, 724 is 23278772.

2. How to calculate the LCM of 79, 11, 11, 74, 724?

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 79, 11, 11, 74, 724.

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}.