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LCM of 413, 610, 714, 394, 374

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


Find the LCM of 413, 610, 714, 394, 374 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 413, 610, 714, 394, 374. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 413,610,714,394,374

Given numbers are 413,610,714,394,374

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

The LCM of 413,610,714,394,374 is 27842547810.

Find LCM of 413,610,714,394,374 with Prime Factorization


2 413, 610, 714, 394, 374
7 413, 305, 357, 197, 187
17 59, 305, 51, 197, 187
59, 305, 3, 197, 11

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

2 x 7 x 17 x 59 x 305 x 3 x 197 x 11 = 27842547810

Therefore, the lowest common multiple of 413,610,714,394,374 is 27842547810.

LCM Formula to Find Lowest Common Multiple of 413,610,714,394,374

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.

413 x 610 x 714 x 394 x 374 = 26506105515120

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.

413 : 1, 7, 59, 413

610 : 1, 2, 5, 10, 61, 122, 305, 610

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

394 : 1, 2, 197, 394

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,610,714,394,374, is 1.

Now, the common factors can be found like this.

413:7x 59

610:2x 5x 61

714:2x 3x 7x 17

394:2x 197

374:2x 11x 17

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 2x 7x 17 = 952

Therefore, the value for common factors is 952.

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 = 26506105515120/(1x952)

LCM = 26506105515120/952

LCM = 27842547810

Thus, we can understand that the LCM of 413,610,714,394,374 is 27842547810.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 413, 610, 714, 394, 374

1. What is the LCM of 413, 610, 714, 394, 374?

Answer: LCM of 413, 610, 714, 394, 374 is 27842547810.

2. How to calculate the LCM of 413, 610, 714, 394, 374?

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 413, 610, 714, 394, 374.

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}.