Given numbers are 248,420,199,346,509

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

The LCM of 248,420,199,346,509 is 456307851720.

Find LCM of 248,420,199,346,509 with Prime Factorization

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

2 x 2 x 62 x 105 x 199 x 173 x 509 = 456307851720

Therefore, the lowest common multiple of 248,420,199,346,509 is 456307851720.

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.

248 x 420 x 199 x 346 x 509 = 3650462813760

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.

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

199 : 1, 199

346 : 1, 2, 173, 346

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,420,199,346,509, is 1.

Now, the common factors can be found like this.

248:2x 2x 2x 31

420:2x 2x 3x 5x 7

199:199

346:2x 173

509:509

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 2 = 8

Therefore, the value for common factors is 8.

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 = 3650462813760/(1x8)

LCM = 3650462813760/8

LCM = 456307851720

Thus, we can understand that the LCM of 248,420,199,346,509 is 456307851720.

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

• LCM of 751, 149, 522, 160, 727
• LCM of 112, 211, 260, 140, 815
• LCM of 837, 103, 178, 811, 982
• LCM of 750, 529, 321, 961, 906
• LCM of 752, 286, 999, 510, 117

1. What is the LCM of 248, 420, 199, 346, 509?

Answer: LCM of 248, 420, 199, 346, 509 is 456307851720.

2. How to calculate the LCM of 248, 420, 199, 346, 509?

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 248, 420, 199, 346, 509.

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}.