Given numbers are 514,624,511,343,253

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

The LCM of 514,624,511,343,253 is 1015909951056.

Find LCM of 514,624,511,343,253 with Prime Factorization

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

2 x 7 x 257 x 312 x 73 x 49 x 253 = 1015909951056

Therefore, the lowest common multiple of 514,624,511,343,253 is 1015909951056.

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.

514 x 624 x 511 x 343 x 253 = 14222739314784

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.

514 : 1, 2, 257, 514

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

511 : 1, 7, 73, 511

343 : 1, 7, 49, 343

253 : 1, 11, 23, 253

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,624,511,343,253, is 1.

Now, the common factors can be found like this.

514:2x 257

624:2x 2x 2x 2x 3x 13

511:7x 73

343:7x 7x 7

253:11x 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 7 = 14

Therefore, the value for common factors is 14.

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 = 14222739314784/(1x14)

LCM = 14222739314784/14

LCM = 1015909951056

Thus, we can understand that the LCM of 514,624,511,343,253 is 1015909951056.

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

• LCM of 570, 108, 990, 720, 996
• LCM of 551, 464, 526, 141, 877
• LCM of 433, 139, 440, 896, 935
• LCM of 686, 563, 508, 686, 495
• LCM of 272, 839, 988, 100, 854

1. What is the LCM of 514, 624, 511, 343, 253?

Answer: LCM of 514, 624, 511, 343, 253 is 1015909951056.

2. How to calculate the LCM of 514, 624, 511, 343, 253?

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 514, 624, 511, 343, 253.

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}.