Given numbers are 320,121,546,960

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

The LCM of 320,121,546,960 is 10570560.

Find LCM of 320,121,546,960 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 1 x 121 x 91 x 1 = 10570560

Therefore, the lowest common multiple of 320,121,546,960 is 10570560.

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.

320 x 121 x 546 x 960 = 20295475200

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.

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

121 : 1, 11, 121

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 320,121,546,960, is 1.

Now, the common factors can be found like this.

320:2x 2x 2x 2x 2x 2x 5

121:11x 11

546:2x 3x 7x 13

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 2x 2x 2x 3x 5 = 1920

Therefore, the value for common factors is 1920.

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 = 20295475200/(1x1920)

LCM = 20295475200/1920

LCM = 10570560

Thus, we can understand that the LCM of 320,121,546,960 is 10570560.

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

• LCM of 253, 475, 405, 302
• LCM of 520, 874, 459, 496
• LCM of 173, 353, 639, 710
• LCM of 570, 622, 604, 965
• LCM of 419, 464, 751, 670

1. What is the LCM of 320, 121, 546, 960?

Answer: LCM of 320, 121, 546, 960 is 10570560.

2. How to calculate the LCM of 320, 121, 546, 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 320, 121, 546, 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}.