Given numbers are 252,814,135,438,639

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

The LCM of 252,814,135,438,639 is 7973838180.

Find LCM of 252,814,135,438,639 with Prime Factorization

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

2 x 3 x 3 x 14 x 407 x 15 x 73 x 71 = 7973838180

Therefore, the lowest common multiple of 252,814,135,438,639 is 7973838180.

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.

252 x 814 x 135 x 438 x 639 = 7750570710960

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.

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

814 : 1, 2, 11, 22, 37, 74, 407, 814

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

438 : 1, 2, 3, 6, 73, 146, 219, 438

639 : 1, 3, 9, 71, 213, 639

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,814,135,438,639, is 1.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

814:2x 11x 37

135:3x 3x 3x 5

438:2x 3x 73

639:3x 3x 71

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 3x 3x 3x 3x 3 = 972

Therefore, the value for common factors is 972.

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 = 7750570710960/(1x972)

LCM = 7750570710960/972

LCM = 7973838180

Thus, we can understand that the LCM of 252,814,135,438,639 is 7973838180.

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

• LCM of 919, 213, 127, 729, 735
• LCM of 809, 737, 483, 383, 380
• LCM of 931, 629, 132, 399, 434
• LCM of 687, 247, 323, 425, 815
• LCM of 847, 990, 119, 950, 859

1. What is the LCM of 252, 814, 135, 438, 639?

Answer: LCM of 252, 814, 135, 438, 639 is 7973838180.

2. How to calculate the LCM of 252, 814, 135, 438, 639?

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 252, 814, 135, 438, 639.

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}.