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LCM of 119, 310, 207, 964, 217

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


Find the LCM of 119, 310, 207, 964, 217 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 119, 310, 207, 964, 217. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 119,310,207,964,217

Given numbers are 119,310,207,964,217

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

The LCM of 119,310,207,964,217 is 3680662860.

Find LCM of 119,310,207,964,217 with Prime Factorization


2 119, 310, 207, 964, 217
7 119, 155, 207, 482, 217
31 17, 155, 207, 482, 31
17, 5, 207, 482, 1

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

2 x 7 x 31 x 17 x 5 x 207 x 482 x 1 = 3680662860

Therefore, the lowest common multiple of 119,310,207,964,217 is 3680662860.

LCM Formula to Find Lowest Common Multiple of 119,310,207,964,217

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.

119 x 310 x 207 x 964 x 217 = 1597407681240

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.

119 : 1, 7, 17, 119

310 : 1, 2, 5, 10, 31, 62, 155, 310

207 : 1, 3, 9, 23, 69, 207

964 : 1, 2, 4, 241, 482, 964

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,310,207,964,217, is 1.

Now, the common factors can be found like this.

119:7x 17

310:2x 5x 31

207:3x 3x 23

964:2x 2x 241

217:7x 31

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

2x 7x 31 = 434

Therefore, the value for common factors is 434.

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 = 1597407681240/(1x434)

LCM = 1597407681240/434

LCM = 3680662860

Thus, we can understand that the LCM of 119,310,207,964,217 is 3680662860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 119, 310, 207, 964, 217

1. What is the LCM of 119, 310, 207, 964, 217?

Answer: LCM of 119, 310, 207, 964, 217 is 3680662860.

2. How to calculate the LCM of 119, 310, 207, 964, 217?

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 119, 310, 207, 964, 217.

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}.