Given numbers are 540,253,219

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

The LCM of 540,253,219 is 9973260.

Find LCM of 540,253,219 with Prime Factorization

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

3 x 180 x 253 x 73 = 9973260

Therefore, the lowest common multiple of 540,253,219 is 9973260.

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.

540 x 253 x 219 = 29919780

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

253 : 1, 11, 23, 253

219 : 1, 3, 73, 219

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,253,219, is 1.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

253:11x 23

219:3x 73

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 = 29919780/(1x3)

LCM = 29919780/3

LCM = 9973260

Thus, we can understand that the LCM of 540,253,219 is 9973260.

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

• LCM of 391, 952, 432
• LCM of 807, 937, 869
• LCM of 315, 775, 726
• LCM of 678, 854, 853
• LCM of 320, 217, 413

1. What is the LCM of 540, 253, 219?

Answer: LCM of 540, 253, 219 is 9973260.

2. How to calculate the LCM of 540, 253, 219?

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 540, 253, 219.

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}.