Given numbers are 135,454,282,116,874

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

The LCM of 135,454,282,116,874 is 73012447980.

Find LCM of 135,454,282,116,874 with Prime Factorization

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

2 x 3 x 45 x 227 x 47 x 58 x 437 = 73012447980

Therefore, the lowest common multiple of 135,454,282,116,874 is 73012447980.

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.

135 x 454 x 282 x 116 x 874 = 1752298751520

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.

135 : 1, 3, 5, 9, 15, 27, 45, 135

454 : 1, 2, 227, 454

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

116 : 1, 2, 4, 29, 58, 116

874 : 1, 2, 19, 23, 38, 46, 437, 874

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,454,282,116,874, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

454:2x 227

282:2x 3x 47

116:2x 2x 29

874:2x 19x 23

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 3 = 24

Therefore, the value for common factors is 24.

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 = 1752298751520/(1x24)

LCM = 1752298751520/24

LCM = 73012447980

Thus, we can understand that the LCM of 135,454,282,116,874 is 73012447980.

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

• LCM of 585, 885, 563, 730, 659
• LCM of 578, 997, 487, 908, 570
• LCM of 290, 767, 997, 678, 916
• LCM of 146, 956, 993, 342, 864
• LCM of 562, 634, 746, 772, 502

1. What is the LCM of 135, 454, 282, 116, 874?

Answer: LCM of 135, 454, 282, 116, 874 is 73012447980.

2. How to calculate the LCM of 135, 454, 282, 116, 874?

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 135, 454, 282, 116, 874.

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}.