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LCM of 613, 957, 267, 219, 319

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


Find the LCM of 613, 957, 267, 219, 319 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 613, 957, 267, 219, 319. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 613,957,267,219,319

Given numbers are 613,957,267,219,319

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

The LCM of 613,957,267,219,319 is 3811406577.

Find LCM of 613,957,267,219,319 with Prime Factorization


3 613, 957, 267, 219, 319
11 613, 319, 89, 73, 319
29 613, 29, 89, 73, 29
613, 1, 89, 73, 1

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

3 x 11 x 29 x 613 x 1 x 89 x 73 x 1 = 3811406577

Therefore, the lowest common multiple of 613,957,267,219,319 is 3811406577.

LCM Formula to Find Lowest Common Multiple of 613,957,267,219,319

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.

613 x 957 x 267 x 219 x 319 = 10942548282567

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.

613 : 1, 613

957 : 1, 3, 11, 29, 33, 87, 319, 957

267 : 1, 3, 89, 267

219 : 1, 3, 73, 219

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 613,957,267,219,319, is 1.

Now, the common factors can be found like this.

613:613

957:3x 11x 29

267:3x 89

219:3x 73

319:11x 29

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

3x 3x 11x 29 = 2871

Therefore, the value for common factors is 2871.

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 = 10942548282567/(1x2871)

LCM = 10942548282567/2871

LCM = 3811406577

Thus, we can understand that the LCM of 613,957,267,219,319 is 3811406577.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 613, 957, 267, 219, 319

1. What is the LCM of 613, 957, 267, 219, 319?

Answer: LCM of 613, 957, 267, 219, 319 is 3811406577.

2. How to calculate the LCM of 613, 957, 267, 219, 319?

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 613, 957, 267, 219, 319.

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}.