Given numbers are 330,136,164,930,975

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

The LCM of 330,136,164,930,975 is 1853880600.

Find LCM of 330,136,164,930,975 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 34 x 41 x 31 x 65 = 1853880600

Therefore, the lowest common multiple of 330,136,164,930,975 is 1853880600.

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.

330 x 136 x 164 x 930 x 975 = 6673970160000

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.

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

136 : 1, 2, 4, 8, 17, 34, 68, 136

164 : 1, 2, 4, 41, 82, 164

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,136,164,930,975, is 1.

Now, the common factors can be found like this.

330:2x 3x 5x 11

136:2x 2x 2x 17

164:2x 2x 41

930:2x 3x 5x 31

975:3x 5x 5x 13

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 3x 3x 5x 5 = 3600

Therefore, the value for common factors is 3600.

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 = 6673970160000/(1x3600)

LCM = 6673970160000/3600

LCM = 1853880600

Thus, we can understand that the LCM of 330,136,164,930,975 is 1853880600.

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

• LCM of 742, 875, 254, 212, 941
• LCM of 908, 154, 404, 990, 456
• LCM of 214, 788, 420, 435, 999
• LCM of 119, 114, 284, 968, 522
• LCM of 693, 267, 586, 245, 995

1. What is the LCM of 330, 136, 164, 930, 975?

Answer: LCM of 330, 136, 164, 930, 975 is 1853880600.

2. How to calculate the LCM of 330, 136, 164, 930, 975?

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 330, 136, 164, 930, 975.

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}.