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LCM of 390, 714, 945, 594, 191

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


Find the LCM of 390, 714, 945, 594, 191 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 390, 714, 945, 594, 191. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 390,714,945,594,191

Given numbers are 390,714,945,594,191

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

The LCM of 390,714,945,594,191 is 877566690.

Find LCM of 390,714,945,594,191 with Prime Factorization


2 390, 714, 945, 594, 191
3 195, 357, 945, 297, 191
3 65, 119, 315, 99, 191
3 65, 119, 105, 33, 191
5 65, 119, 35, 11, 191
7 13, 119, 7, 11, 191
13, 17, 1, 11, 191

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

2 x 3 x 3 x 3 x 5 x 7 x 13 x 17 x 1 x 11 x 191 = 877566690

Therefore, the lowest common multiple of 390,714,945,594,191 is 877566690.

LCM Formula to Find Lowest Common Multiple of 390,714,945,594,191

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.

390 x 714 x 945 x 594 x 191 = 29854818793800

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

191 : 1, 191

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,714,945,594,191, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

714:2x 3x 7x 17

945:3x 3x 3x 5x 7

594:2x 3x 3x 3x 11

191:191

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 3x 3x 3x 5x 7 = 34020

Therefore, the value for common factors is 34020.

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 = 29854818793800/(1x34020)

LCM = 29854818793800/34020

LCM = 877566690

Thus, we can understand that the LCM of 390,714,945,594,191 is 877566690.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 390, 714, 945, 594, 191

1. What is the LCM of 390, 714, 945, 594, 191?

Answer: LCM of 390, 714, 945, 594, 191 is 877566690.

2. How to calculate the LCM of 390, 714, 945, 594, 191?

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 390, 714, 945, 594, 191.

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}.