Given numbers are 514,119,648,248

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

The LCM of 514,119,648,248 is 614351304.

Find LCM of 514,119,648,248 with Prime Factorization

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

2 x 2 x 2 x 257 x 119 x 81 x 31 = 614351304

Therefore, the lowest common multiple of 514,119,648,248 is 614351304.

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 119 x 648 x 248 = 9829620864

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

119 : 1, 7, 17, 119

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

248 : 1, 2, 4, 8, 31, 62, 124, 248

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,119,648,248, is 1.

Now, the common factors can be found like this.

514:2x 257

119:7x 17

648:2x 2x 2x 3x 3x 3x 3

248:2x 2x 2x 31

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 2 = 16

Therefore, the value for common factors is 16.

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 = 9829620864/(1x16)

LCM = 9829620864/16

LCM = 614351304

Thus, we can understand that the LCM of 514,119,648,248 is 614351304.

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

• LCM of 982, 412, 957, 717
• LCM of 594, 631, 648, 459
• LCM of 464, 821, 913, 520
• LCM of 495, 838, 503, 813
• LCM of 103, 108, 526, 977

1. What is the LCM of 514, 119, 648, 248?

Answer: LCM of 514, 119, 648, 248 is 614351304.

2. How to calculate the LCM of 514, 119, 648, 248?

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, 119, 648, 248.

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}.