Given numbers are 240,506,146

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

The LCM of 240,506,146 is 4432560.

Find LCM of 240,506,146 with Prime Factorization

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

2 x 120 x 253 x 73 = 4432560

Therefore, the lowest common multiple of 240,506,146 is 4432560.

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.

240 x 506 x 146 = 17730240

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.

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

506 : 1, 2, 11, 22, 23, 46, 253, 506

146 : 1, 2, 73, 146

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,506,146, is 2.

Now, the common factors can be found like this.

240:2x 2x 2x 2x 3x 5

506:2x 11x 23

146:2x 73

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 = 17730240/(2x2)

LCM = 17730240/4

LCM = 4432560

Thus, we can understand that the LCM of 240,506,146 is 4432560.

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

• LCM of 285, 240, 393
• LCM of 102, 396, 916
• LCM of 216, 148, 527
• LCM of 175, 140, 490
• LCM of 477, 572, 924

1. What is the LCM of 240, 506, 146?

Answer: LCM of 240, 506, 146 is 4432560.

2. How to calculate the LCM of 240, 506, 146?

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 240, 506, 146.

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}.