Given numbers are 135,745,284,374

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

The LCM of 135,745,284,374 is 1068267420.

Find LCM of 135,745,284,374 with Prime Factorization

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

2 x 5 x 27 x 149 x 142 x 187 = 1068267420

Therefore, the lowest common multiple of 135,745,284,374 is 1068267420.

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 745 x 284 x 374 = 10682674200

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

745 : 1, 5, 149, 745

284 : 1, 2, 4, 71, 142, 284

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,745,284,374, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

745:5x 149

284:2x 2x 71

374:2x 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 5 = 10

Therefore, the value for common factors is 10.

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 = 10682674200/(1x10)

LCM = 10682674200/10

LCM = 1068267420

Thus, we can understand that the LCM of 135,745,284,374 is 1068267420.

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

• LCM of 312, 594, 426, 455
• LCM of 602, 722, 987, 585
• LCM of 687, 137, 108, 550
• LCM of 676, 321, 557, 633
• LCM of 618, 688, 566, 698

1. What is the LCM of 135, 745, 284, 374?

Answer: LCM of 135, 745, 284, 374 is 1068267420.

2. How to calculate the LCM of 135, 745, 284, 374?

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, 745, 284, 374.

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}.