Given numbers are 504,506,241,390

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

The LCM of 504,506,241,390 is 1997475480.

Find LCM of 504,506,241,390 with Prime Factorization

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

2 x 3 x 84 x 253 x 241 x 65 = 1997475480

Therefore, the lowest common multiple of 504,506,241,390 is 1997475480.

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.

504 x 506 x 241 x 390 = 23969705760

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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

241 : 1, 241

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,506,241,390, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

506:2x 11x 23

241:241

390:2x 3x 5x 13

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

2x 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 23969705760/(1x12)

LCM = 23969705760/12

LCM = 1997475480

Thus, we can understand that the LCM of 504,506,241,390 is 1997475480.

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

• LCM of 385, 151, 804, 107
• LCM of 118, 104, 668, 500
• LCM of 575, 893, 241, 526
• LCM of 681, 318, 880, 804
• LCM of 835, 900, 910, 262

1. What is the LCM of 504, 506, 241, 390?

Answer: LCM of 504, 506, 241, 390 is 1997475480.

2. How to calculate the LCM of 504, 506, 241, 390?

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 504, 506, 241, 390.

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}.