Given numbers are 494,651,456,984,143

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

The LCM of 494,651,456,984,143 is 580155576.

Find LCM of 494,651,456,984,143 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 19 x 1 x 217 x 1 x 41 x 11 = 580155576

Therefore, the lowest common multiple of 494,651,456,984,143 is 580155576.

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.

494 x 651 x 456 x 984 x 143 = 20634973527168

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

651 : 1, 3, 7, 21, 31, 93, 217, 651

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,651,456,984,143, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

651:3x 7x 31

456:2x 2x 2x 3x 19

984:2x 2x 2x 3x 41

143:11x 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 2x 2x 3x 3x 13x 19 = 35568

Therefore, the value for common factors is 35568.

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 = 20634973527168/(1x35568)

LCM = 20634973527168/35568

LCM = 580155576

Thus, we can understand that the LCM of 494,651,456,984,143 is 580155576.

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

• LCM of 972, 310, 927, 827, 310
• LCM of 570, 551, 560, 736, 227
• LCM of 321, 311, 748, 186, 316
• LCM of 423, 737, 910, 725, 366
• LCM of 133, 325, 457, 439, 883

1. What is the LCM of 494, 651, 456, 984, 143?

Answer: LCM of 494, 651, 456, 984, 143 is 580155576.

2. How to calculate the LCM of 494, 651, 456, 984, 143?

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 494, 651, 456, 984, 143.

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}.