Given numbers are 490,933,209,152

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

The LCM of 490,933,209,152 is 382194120.

Find LCM of 490,933,209,152 with Prime Factorization

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

2 x 19 x 245 x 933 x 11 x 4 = 382194120

Therefore, the lowest common multiple of 490,933,209,152 is 382194120.

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 933 x 209 x 152 = 14523376560

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

933 : 1, 3, 311, 933

209 : 1, 11, 19, 209

152 : 1, 2, 4, 8, 19, 38, 76, 152

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,933,209,152, is 1.

Now, the common factors can be found like this.

490:2x 5x 7x 7

933:3x 311

209:11x 19

152:2x 2x 2x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 14523376560/(1x38)

LCM = 14523376560/38

LCM = 382194120

Thus, we can understand that the LCM of 490,933,209,152 is 382194120.

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

• LCM of 812, 993, 129, 385
• LCM of 387, 870, 416, 478
• LCM of 956, 800, 510, 256
• LCM of 876, 656, 741, 277
• LCM of 607, 261, 515, 631

1. What is the LCM of 490, 933, 209, 152?

Answer: LCM of 490, 933, 209, 152 is 382194120.

2. How to calculate the LCM of 490, 933, 209, 152?

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, 933, 209, 152.

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}.