Given numbers are 142,418,624,689,220

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

The LCM of 142,418,624,689,220 is 2453777040.

Find LCM of 142,418,624,689,220 with Prime Factorization

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

2 x 2 x 11 x 13 x 71 x 19 x 12 x 53 x 5 = 2453777040

Therefore, the lowest common multiple of 142,418,624,689,220 is 2453777040.

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.

142 x 418 x 624 x 689 x 220 = 5614241867520

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.

142 : 1, 2, 71, 142

418 : 1, 2, 11, 19, 22, 38, 209, 418

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

689 : 1, 13, 53, 689

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,418,624,689,220, is 1.

Now, the common factors can be found like this.

142:2x 71

418:2x 11x 19

624:2x 2x 2x 2x 3x 13

689:13x 53

220:2x 2x 5x 11

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 11x 13 = 2288

Therefore, the value for common factors is 2288.

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 = 5614241867520/(1x2288)

LCM = 5614241867520/2288

LCM = 2453777040

Thus, we can understand that the LCM of 142,418,624,689,220 is 2453777040.

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

• LCM of 537, 450, 639, 452, 870
• LCM of 220, 823, 842, 688, 763
• LCM of 343, 396, 201, 741, 867
• LCM of 368, 957, 692, 878, 113
• LCM of 169, 398, 831, 456, 499

1. What is the LCM of 142, 418, 624, 689, 220?

Answer: LCM of 142, 418, 624, 689, 220 is 2453777040.

2. How to calculate the LCM of 142, 418, 624, 689, 220?

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 142, 418, 624, 689, 220.

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}.