Given numbers are 904,119,969,363

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

The LCM of 904,119,969,363 is 741951672.

Find LCM of 904,119,969,363 with Prime Factorization

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

3 x 17 x 904 x 7 x 19 x 121 = 741951672

Therefore, the lowest common multiple of 904,119,969,363 is 741951672.

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.

904 x 119 x 969 x 363 = 37839535272

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.

904 : 1, 2, 4, 8, 113, 226, 452, 904

119 : 1, 7, 17, 119

969 : 1, 3, 17, 19, 51, 57, 323, 969

363 : 1, 3, 11, 33, 121, 363

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,119,969,363, is 1.

Now, the common factors can be found like this.

904:2x 2x 2x 113

119:7x 17

969:3x 17x 19

363:3x 11x 11

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

3x 17 = 51

Therefore, the value for common factors is 51.

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 = 37839535272/(1x51)

LCM = 37839535272/51

LCM = 741951672

Thus, we can understand that the LCM of 904,119,969,363 is 741951672.

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

• LCM of 415, 404, 114, 650
• LCM of 123, 417, 626, 703
• LCM of 580, 574, 362, 394
• LCM of 117, 119, 528, 683
• LCM of 254, 401, 521, 421

1. What is the LCM of 904, 119, 969, 363?

Answer: LCM of 904, 119, 969, 363 is 741951672.

2. How to calculate the LCM of 904, 119, 969, 363?

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 904, 119, 969, 363.

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}.