Given numbers are 27,74,596

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

The LCM of 27,74,596 is 595404.

Find LCM of 27,74,596 with Prime Factorization

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

2 x 27 x 37 x 298 = 595404

Therefore, the lowest common multiple of 27,74,596 is 595404.

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.

27 x 74 x 596 = 1190808

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.

27 : 1, 3, 9, 27

74 : 1, 2, 37, 74

596 : 1, 2, 4, 149, 298, 596

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 27,74,596, is 1.

Now, the common factors can be found like this.

27:3x 3x 3

74:2x 37

596:2x 2x 149

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 = 1190808/(1x2)

LCM = 1190808/2

LCM = 595404

Thus, we can understand that the LCM of 27,74,596 is 595404.

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

• LCM of 89, 65, 634
• LCM of 61, 42, 443
• LCM of 98, 89, 743
• LCM of 96, 35, 287
• LCM of 46, 21, 475

1. What is the LCM of 27, 74, 596?

Answer: LCM of 27, 74, 596 is 595404.

2. How to calculate the LCM of 27, 74, 596?

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 27, 74, 596.

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}.