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LCM of 330, 186, 490, 351

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 330, 186, 490, 351 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 330, 186, 490, 351. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 330,186,490,351

Given numbers are 330,186,490,351

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

The LCM of 330,186,490,351 is 58648590.

Find LCM of 330,186,490,351 with Prime Factorization


2 330, 186, 490, 351
3 165, 93, 245, 351
5 55, 31, 245, 117
11, 31, 49, 117

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

2 x 3 x 5 x 11 x 31 x 49 x 117 = 58648590

Therefore, the lowest common multiple of 330,186,490,351 is 58648590.

LCM Formula to Find Lowest Common Multiple of 330,186,490,351

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 186 x 490 x 351 = 10556746200

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

186 : 1, 2, 3, 6, 31, 62, 93, 186

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

351 : 1, 3, 9, 13, 27, 39, 117, 351

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,186,490,351, is 1.

Now, the common factors can be found like this.

330:2x 3x 5x 11

186:2x 3x 31

490:2x 5x 7x 7

351:3x 3x 3x 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 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 = 10556746200/(1x180)

LCM = 10556746200/180

LCM = 58648590

Thus, we can understand that the LCM of 330,186,490,351 is 58648590.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 330, 186, 490, 351

1. What is the LCM of 330, 186, 490, 351?

Answer: LCM of 330, 186, 490, 351 is 58648590.

2. How to calculate the LCM of 330, 186, 490, 351?

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, 186, 490, 351.

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}.