Given numbers are 498,242,749,728

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

The LCM of 498,242,749,728 is 2346928584.

Find LCM of 498,242,749,728 with Prime Factorization

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

2 x 7 x 249 x 121 x 107 x 52 = 2346928584

Therefore, the lowest common multiple of 498,242,749,728 is 2346928584.

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.

498 x 242 x 749 x 728 = 65714000352

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.

498 : 1, 2, 3, 6, 83, 166, 249, 498

242 : 1, 2, 11, 22, 121, 242

749 : 1, 7, 107, 749

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,242,749,728, is 1.

Now, the common factors can be found like this.

498:2x 3x 83

242:2x 11x 11

749:7x 107

728:2x 2x 2x 7x 13

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 7 = 28

Therefore, the value for common factors is 28.

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 = 65714000352/(1x28)

LCM = 65714000352/28

LCM = 2346928584

Thus, we can understand that the LCM of 498,242,749,728 is 2346928584.

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

• LCM of 645, 477, 540, 677
• LCM of 259, 964, 855, 509
• LCM of 608, 763, 200, 428
• LCM of 886, 148, 989, 256
• LCM of 636, 556, 289, 444

1. What is the LCM of 498, 242, 749, 728?

Answer: LCM of 498, 242, 749, 728 is 2346928584.

2. How to calculate the LCM of 498, 242, 749, 728?

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 498, 242, 749, 728.

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}.