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LCM of 290, 965, 406, 329

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


Find the LCM of 290, 965, 406, 329 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 290, 965, 406, 329. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 290,965,406,329

Given numbers are 290,965,406,329

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

The LCM of 290,965,406,329 is 18414130.

Find LCM of 290,965,406,329 with Prime Factorization


2 290, 965, 406, 329
5 145, 965, 203, 329
7 29, 193, 203, 329
29 29, 193, 29, 47
1, 193, 1, 47

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

2 x 5 x 7 x 29 x 1 x 193 x 1 x 47 = 18414130

Therefore, the lowest common multiple of 290,965,406,329 is 18414130.

LCM Formula to Find Lowest Common Multiple of 290,965,406,329

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.

290 x 965 x 406 x 329 = 37380683900

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

965 : 1, 5, 193, 965

406 : 1, 2, 7, 14, 29, 58, 203, 406

329 : 1, 7, 47, 329

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,965,406,329, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

965:5x 193

406:2x 7x 29

329:7x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5x 7x 29 = 2030

Therefore, the value for common factors is 2030.

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 = 37380683900/(1x2030)

LCM = 37380683900/2030

LCM = 18414130

Thus, we can understand that the LCM of 290,965,406,329 is 18414130.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 290, 965, 406, 329

1. What is the LCM of 290, 965, 406, 329?

Answer: LCM of 290, 965, 406, 329 is 18414130.

2. How to calculate the LCM of 290, 965, 406, 329?

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 290, 965, 406, 329.

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}.