Given numbers are 498,101,206,176,747

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

The LCM of 498,101,206,176,747 is 1367703216.

Find LCM of 498,101,206,176,747 with Prime Factorization

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

2 x 3 x 83 x 1 x 101 x 103 x 88 x 3 = 1367703216

Therefore, the lowest common multiple of 498,101,206,176,747 is 1367703216.

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 101 x 206 x 176 x 747 = 1362232403136

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

101 : 1, 101

206 : 1, 2, 103, 206

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,101,206,176,747, is 1.

Now, the common factors can be found like this.

498:2x 3x 83

101:101

206:2x 103

176:2x 2x 2x 2x 11

747:3x 3x 83

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 3x 83 = 996

Therefore, the value for common factors is 996.

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 = 1362232403136/(1x996)

LCM = 1362232403136/996

LCM = 1367703216

Thus, we can understand that the LCM of 498,101,206,176,747 is 1367703216.

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

• LCM of 683, 830, 608, 663, 642
• LCM of 732, 820, 188, 334, 719
• LCM of 875, 725, 530, 100, 670
• LCM of 991, 604, 253, 822, 805
• LCM of 165, 534, 948, 712, 525

1. What is the LCM of 498, 101, 206, 176, 747?

Answer: LCM of 498, 101, 206, 176, 747 is 1367703216.

2. How to calculate the LCM of 498, 101, 206, 176, 747?

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, 101, 206, 176, 747.

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}.