Given numbers are 326,292,924,960

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

The LCM of 326,292,924,960 is 879574080.

Find LCM of 326,292,924,960 with Prime Factorization

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

2 x 2 x 3 x 163 x 73 x 77 x 80 = 879574080

Therefore, the lowest common multiple of 326,292,924,960 is 879574080.

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.

326 x 292 x 924 x 960 = 84439111680

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.

326 : 1, 2, 163, 326

292 : 1, 2, 4, 73, 146, 292

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,292,924,960, is 2.

Now, the common factors can be found like this.

326:2x 163

292:2x 2x 73

924:2x 2x 3x 7x 11

960:2x 2x 2x 2x 2x 2x 3x 5

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 3 = 48

Therefore, the value for common factors is 48.

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 = 84439111680/(2x48)

LCM = 84439111680/96

LCM = 879574080

Thus, we can understand that the LCM of 326,292,924,960 is 879574080.

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

• LCM of 381, 365, 155, 788
• LCM of 480, 174, 848, 649
• LCM of 508, 244, 333, 974
• LCM of 223, 201, 238, 475
• LCM of 420, 324, 855, 404

1. What is the LCM of 326, 292, 924, 960?

Answer: LCM of 326, 292, 924, 960 is 879574080.

2. How to calculate the LCM of 326, 292, 924, 960?

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 326, 292, 924, 960.

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}.