Given numbers are 960,202,218,330

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

The LCM of 960,202,218,330 is 116255040.

Find LCM of 960,202,218,330 with Prime Factorization

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

2 x 3 x 5 x 32 x 101 x 109 x 11 = 116255040

Therefore, the lowest common multiple of 960,202,218,330 is 116255040.

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 202 x 218 x 330 = 13950604800

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

202 : 1, 2, 101, 202

218 : 1, 2, 109, 218

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,202,218,330, is 2.

Now, the common factors can be found like this.

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

202:2x 101

218:2x 109

330:2x 3x 5x 11

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 5 = 60

Therefore, the value for common factors is 60.

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 = 13950604800/(2x60)

LCM = 13950604800/120

LCM = 116255040

Thus, we can understand that the LCM of 960,202,218,330 is 116255040.

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

• LCM of 147, 614, 914, 631
• LCM of 532, 400, 788, 460
• LCM of 962, 824, 688, 890
• LCM of 690, 866, 734, 317
• LCM of 706, 726, 713, 353

1. What is the LCM of 960, 202, 218, 330?

Answer: LCM of 960, 202, 218, 330 is 116255040.

2. How to calculate the LCM of 960, 202, 218, 330?

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, 202, 218, 330.

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}.