Given numbers are 252,928,968,512,349

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

The LCM of 252,928,968,512,349 is 39502020096.

Find LCM of 252,928,968,512,349 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 63 x 29 x 121 x 16 x 349 = 39502020096

Therefore, the lowest common multiple of 252,928,968,512,349 is 39502020096.

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 928 x 968 x 512 x 349 = 40450068578304

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

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,928,968,512,349, is 1.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

928:2x 2x 2x 2x 2x 29

968:2x 2x 2x 11x 11

512:2x 2x 2x 2x 2x 2x 2x 2x 2

349:349

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 2x 2x 2x 2x 2 = 1024

Therefore, the value for common factors is 1024.

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 = 40450068578304/(1x1024)

LCM = 40450068578304/1024

LCM = 39502020096

Thus, we can understand that the LCM of 252,928,968,512,349 is 39502020096.

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

• LCM of 248, 989, 605, 447, 369
• LCM of 705, 325, 878, 813, 712
• LCM of 253, 432, 392, 144, 684
• LCM of 829, 775, 717, 611, 563
• LCM of 340, 169, 110, 129, 822

1. What is the LCM of 252, 928, 968, 512, 349?

Answer: LCM of 252, 928, 968, 512, 349 is 39502020096.

2. How to calculate the LCM of 252, 928, 968, 512, 349?

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, 928, 968, 512, 349.

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}.