Given numbers are 969,304,326,478

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

The LCM of 969,304,326,478 is 603989328.

Find LCM of 969,304,326,478 with Prime Factorization

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

2 x 19 x 51 x 8 x 163 x 239 = 603989328

Therefore, the lowest common multiple of 969,304,326,478 is 603989328.

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.

969 x 304 x 326 x 478 = 45903188928

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.

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

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

326 : 1, 2, 163, 326

478 : 1, 2, 239, 478

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,304,326,478, is 1.

Now, the common factors can be found like this.

969:3x 17x 19

304:2x 2x 2x 2x 19

326:2x 163

478:2x 239

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 19 = 76

Therefore, the value for common factors is 76.

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 = 45903188928/(1x76)

LCM = 45903188928/76

LCM = 603989328

Thus, we can understand that the LCM of 969,304,326,478 is 603989328.

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

• LCM of 929, 861, 946, 889
• LCM of 727, 210, 794, 582
• LCM of 231, 592, 300, 813
• LCM of 510, 257, 417, 253
• LCM of 543, 603, 512, 133

1. What is the LCM of 969, 304, 326, 478?

Answer: LCM of 969, 304, 326, 478 is 603989328.

2. How to calculate the LCM of 969, 304, 326, 478?

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 969, 304, 326, 478.

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}.