Given numbers are 960,221,540,753

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

The LCM of 960,221,540,753 is 479269440.

Find LCM of 960,221,540,753 with Prime Factorization

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

2 x 2 x 3 x 5 x 16 x 221 x 9 x 251 = 479269440

Therefore, the lowest common multiple of 960,221,540,753 is 479269440.

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.

960 x 221 x 540 x 753 = 86268499200

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.

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

221 : 1, 13, 17, 221

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,221,540,753, is 1.

Now, the common factors can be found like this.

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

221:13x 17

540:2x 2x 3x 3x 3x 5

753:3x 251

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 86268499200/(1x180)

LCM = 86268499200/180

LCM = 479269440

Thus, we can understand that the LCM of 960,221,540,753 is 479269440.

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

• LCM of 442, 410, 742, 592
• LCM of 569, 690, 493, 233
• LCM of 232, 930, 399, 612
• LCM of 491, 293, 196, 808
• LCM of 835, 114, 922, 928

1. What is the LCM of 960, 221, 540, 753?

Answer: LCM of 960, 221, 540, 753 is 479269440.

2. How to calculate the LCM of 960, 221, 540, 753?

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 960, 221, 540, 753.

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}.