Given numbers are 490,104,195,286

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

The LCM of 490,104,195,286 is 840840.

Find LCM of 490,104,195,286 with Prime Factorization

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

2 x 5 x 13 x 49 x 4 x 3 x 11 = 840840

Therefore, the lowest common multiple of 490,104,195,286 is 840840.

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 104 x 195 x 286 = 2842039200

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

195 : 1, 3, 5, 13, 15, 39, 65, 195

286 : 1, 2, 11, 13, 22, 26, 143, 286

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,104,195,286, is 1.

Now, the common factors can be found like this.

490:2x 5x 7x 7

104:2x 2x 2x 13

195:3x 5x 13

286:2x 11x 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 5x 13x 13 = 3380

Therefore, the value for common factors is 3380.

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 = 2842039200/(1x3380)

LCM = 2842039200/3380

LCM = 840840

Thus, we can understand that the LCM of 490,104,195,286 is 840840.

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

• LCM of 782, 186, 985, 525
• LCM of 997, 880, 761, 241
• LCM of 621, 780, 966, 102
• LCM of 357, 944, 643, 410
• LCM of 896, 895, 101, 151

1. What is the LCM of 490, 104, 195, 286?

Answer: LCM of 490, 104, 195, 286 is 840840.

2. How to calculate the LCM of 490, 104, 195, 286?

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, 104, 195, 286.

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}.