Given numbers are 282,922,690,586,738

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

The LCM of 282,922,690,586,738 is 538791338970.

Find LCM of 282,922,690,586,738 with Prime Factorization

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

2 x 3 x 47 x 461 x 115 x 293 x 123 = 538791338970

Therefore, the lowest common multiple of 282,922,690,586,738 is 538791338970.

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 922 x 690 x 586 x 738 = 77585952811680

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

922 : 1, 2, 461, 922

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

586 : 1, 2, 293, 586

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,922,690,586,738, is 2.

Now, the common factors can be found like this.

282:2x 3x 47

922:2x 461

690:2x 3x 5x 23

586:2x 293

738:2x 3x 3x 41

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 77585952811680/(2x72)

LCM = 77585952811680/144

LCM = 538791338970

Thus, we can understand that the LCM of 282,922,690,586,738 is 538791338970.

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

• LCM of 369, 885, 520, 463, 366
• LCM of 373, 209, 784, 745, 567
• LCM of 650, 802, 305, 628, 335
• LCM of 833, 644, 682, 774, 279
• LCM of 657, 519, 262, 574, 158

1. What is the LCM of 282, 922, 690, 586, 738?

Answer: LCM of 282, 922, 690, 586, 738 is 538791338970.

2. How to calculate the LCM of 282, 922, 690, 586, 738?

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, 922, 690, 586, 738.

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}.