Given numbers are 282,457,464,374

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

The LCM of 282,457,464,374 is 5591069616.

Find LCM of 282,457,464,374 with Prime Factorization

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

2 x 141 x 457 x 232 x 187 = 5591069616

Therefore, the lowest common multiple of 282,457,464,374 is 5591069616.

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.

282 x 457 x 464 x 374 = 22364278464

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.

282 : 1, 2, 3, 6, 47, 94, 141, 282

457 : 1, 457

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,457,464,374, is 1.

Now, the common factors can be found like this.

282:2x 3x 47

457:457

464:2x 2x 2x 2x 29

374:2x 11x 17

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 22364278464/(1x4)

LCM = 22364278464/4

LCM = 5591069616

Thus, we can understand that the LCM of 282,457,464,374 is 5591069616.

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

• LCM of 331, 448, 996, 611
• LCM of 930, 379, 835, 695
• LCM of 676, 567, 739, 575
• LCM of 818, 956, 723, 315
• LCM of 110, 801, 600, 540

1. What is the LCM of 282, 457, 464, 374?

Answer: LCM of 282, 457, 464, 374 is 5591069616.

2. How to calculate the LCM of 282, 457, 464, 374?

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 282, 457, 464, 374.

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}.