Given numbers are 490,210,898,540

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

The LCM of 490,210,898,540 is 11880540.

Find LCM of 490,210,898,540 with Prime Factorization

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

2 x 3 x 5 x 7 x 1 x 7 x 449 x 18 = 11880540

Therefore, the lowest common multiple of 490,210,898,540 is 11880540.

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.

490 x 210 x 898 x 540 = 49898268000

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.

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

898 : 1, 2, 449, 898

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,210,898,540, is 2.

Now, the common factors can be found like this.

490:2x 5x 7x 7

210:2x 3x 5x 7

898:2x 449

540:2x 2x 3x 3x 3x 5

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 5x 5x 7 = 2100

Therefore, the value for common factors is 2100.

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 = 49898268000/(2x2100)

LCM = 49898268000/4200

LCM = 11880540

Thus, we can understand that the LCM of 490,210,898,540 is 11880540.

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

• LCM of 273, 357, 632, 482
• LCM of 800, 570, 758, 874
• LCM of 780, 775, 770, 197
• LCM of 312, 916, 928, 299
• LCM of 456, 603, 149, 895

1. What is the LCM of 490, 210, 898, 540?

Answer: LCM of 490, 210, 898, 540 is 11880540.

2. How to calculate the LCM of 490, 210, 898, 540?

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 490, 210, 898, 540.

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}.