Given numbers are 504,748,374,566

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

The LCM of 504,748,374,566 is 26672184.

Find LCM of 504,748,374,566 with Prime Factorization

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

2 x 2 x 11 x 17 x 126 x 1 x 1 x 283 = 26672184

Therefore, the lowest common multiple of 504,748,374,566 is 26672184.

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 748 x 374 x 566 = 79803174528

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

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

374 : 1, 2, 11, 17, 22, 34, 187, 374

566 : 1, 2, 283, 566

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,748,374,566, is 2.

Now, the common factors can be found like this.

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

748:2x 2x 11x 17

374:2x 11x 17

566:2x 283

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 2x 11x 17 = 1496

Therefore, the value for common factors is 1496.

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 = 79803174528/(2x1496)

LCM = 79803174528/2992

LCM = 26672184

Thus, we can understand that the LCM of 504,748,374,566 is 26672184.

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

• LCM of 597, 439, 173, 486
• LCM of 117, 221, 543, 359
• LCM of 300, 796, 194, 898
• LCM of 374, 290, 791, 325
• LCM of 250, 291, 256, 802

1. What is the LCM of 504, 748, 374, 566?

Answer: LCM of 504, 748, 374, 566 is 26672184.

2. How to calculate the LCM of 504, 748, 374, 566?

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, 748, 374, 566.

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}.