Given numbers are 564,37,339

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

The LCM of 564,37,339 is 2358084.

Find LCM of 564,37,339 with Prime Factorization

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

3 x 188 x 37 x 113 = 2358084

Therefore, the lowest common multiple of 564,37,339 is 2358084.

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.

564 x 37 x 339 = 7074252

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

37 : 1, 37

339 : 1, 3, 113, 339

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,37,339, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

37:37

339:3x 113

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

3 = 3

Therefore, the value for common factors is 3.

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 = 7074252/(1x3)

LCM = 7074252/3

LCM = 2358084

Thus, we can understand that the LCM of 564,37,339 is 2358084.

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

• LCM of 486, 83, 589
• LCM of 540, 24, 719
• LCM of 913, 74, 205
• LCM of 282, 33, 267
• LCM of 850, 57, 298

1. What is the LCM of 564, 37, 339?

Answer: LCM of 564, 37, 339 is 2358084.

2. How to calculate the LCM of 564, 37, 339?

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 564, 37, 339.

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}.