Given numbers are 138,374,634,370,440

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

The LCM of 138,374,634,370,440 is 6053571480.

Find LCM of 138,374,634,370,440 with Prime Factorization

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

2 x 5 x 11 x 69 x 17 x 317 x 37 x 4 = 6053571480

Therefore, the lowest common multiple of 138,374,634,370,440 is 6053571480.

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.

138 x 374 x 634 x 370 x 440 = 5327142902400

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

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

634 : 1, 2, 317, 634

370 : 1, 2, 5, 10, 37, 74, 185, 370

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,374,634,370,440, is 2.

Now, the common factors can be found like this.

138:2x 3x 23

374:2x 11x 17

634:2x 317

370:2x 5x 37

440:2x 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 5x 11 = 440

Therefore, the value for common factors is 440.

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 = 5327142902400/(2x440)

LCM = 5327142902400/880

LCM = 6053571480

Thus, we can understand that the LCM of 138,374,634,370,440 is 6053571480.

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

• LCM of 987, 696, 301, 232, 111
• LCM of 678, 586, 788, 875, 469
• LCM of 650, 773, 194, 303, 579
• LCM of 941, 353, 104, 413, 979
• LCM of 856, 671, 630, 367, 715

1. What is the LCM of 138, 374, 634, 370, 440?

Answer: LCM of 138, 374, 634, 370, 440 is 6053571480.

2. How to calculate the LCM of 138, 374, 634, 370, 440?

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 138, 374, 634, 370, 440.

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}.