Given numbers are 490,160,137,804,728

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

The LCM of 490,160,137,804,728 is 2806571040.

Find LCM of 490,160,137,804,728 with Prime Factorization

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

2 x 2 x 2 x 5 x 7 x 7 x 4 x 137 x 201 x 13 = 2806571040

Therefore, the lowest common multiple of 490,160,137,804,728 is 2806571040.

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 160 x 137 x 804 x 728 = 6286719129600

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

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

137 : 1, 137

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

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 490,160,137,804,728, is 1.

Now, the common factors can be found like this.

490:2x 5x 7x 7

160:2x 2x 2x 2x 2x 5

137:137

804:2x 2x 3x 67

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 2x 2x 2x 2x 5x 7 = 2240

Therefore, the value for common factors is 2240.

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 = 6286719129600/(1x2240)

LCM = 6286719129600/2240

LCM = 2806571040

Thus, we can understand that the LCM of 490,160,137,804,728 is 2806571040.

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

• LCM of 200, 905, 500, 495, 886
• LCM of 745, 114, 442, 480, 206
• LCM of 686, 245, 784, 706, 485
• LCM of 728, 664, 271, 784, 498
• LCM of 665, 156, 175, 234, 363

1. What is the LCM of 490, 160, 137, 804, 728?

Answer: LCM of 490, 160, 137, 804, 728 is 2806571040.

2. How to calculate the LCM of 490, 160, 137, 804, 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 490, 160, 137, 804, 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}.