Given numbers are 132,418,990,688,748

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

The LCM of 132,418,990,688,748 is 110000880.

Find LCM of 132,418,990,688,748 with Prime Factorization

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

2 x 2 x 3 x 11 x 1 x 19 x 15 x 172 x 17 = 110000880

Therefore, the lowest common multiple of 132,418,990,688,748 is 110000880.

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.

132 x 418 x 990 x 688 x 748 = 28110944885760

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.

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,418,990,688,748, is 2.

Now, the common factors can be found like this.

132:2x 2x 3x 11

418:2x 11x 19

990:2x 3x 3x 5x 11

688:2x 2x 2x 2x 43

748:2x 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 2x 2x 2x 2x 3x 11x 11x 11 = 127776

Therefore, the value for common factors is 127776.

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 = 28110944885760/(2x127776)

LCM = 28110944885760/255552

LCM = 110000880

Thus, we can understand that the LCM of 132,418,990,688,748 is 110000880.

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

• LCM of 345, 673, 413, 337, 400
• LCM of 789, 564, 387, 194, 385
• LCM of 746, 607, 171, 978, 709
• LCM of 294, 493, 178, 821, 661
• LCM of 620, 746, 326, 452, 631

1. What is the LCM of 132, 418, 990, 688, 748?

Answer: LCM of 132, 418, 990, 688, 748 is 110000880.

2. How to calculate the LCM of 132, 418, 990, 688, 748?

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 132, 418, 990, 688, 748.

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}.