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LCM of 317, 518, 861, 714

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


Find the LCM of 317, 518, 861, 714 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 317, 518, 861, 714. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 317,518,861,714

Given numbers are 317,518,861,714

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

The LCM of 317,518,861,714 is 343354746.

Find LCM of 317,518,861,714 with Prime Factorization


2 317, 518, 861, 714
3 317, 259, 861, 357
7 317, 259, 287, 119
317, 37, 41, 17

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

2 x 3 x 7 x 317 x 37 x 41 x 17 = 343354746

Therefore, the lowest common multiple of 317,518,861,714 is 343354746.

LCM Formula to Find Lowest Common Multiple of 317,518,861,714

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.

317 x 518 x 861 x 714 = 100946295324

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.

317 : 1, 317

518 : 1, 2, 7, 14, 37, 74, 259, 518

861 : 1, 3, 7, 21, 41, 123, 287, 861

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,518,861,714, is 1.

Now, the common factors can be found like this.

317:317

518:2x 7x 37

861:3x 7x 41

714:2x 3x 7x 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 3x 7x 7 = 294

Therefore, the value for common factors is 294.

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 = 100946295324/(1x294)

LCM = 100946295324/294

LCM = 343354746

Thus, we can understand that the LCM of 317,518,861,714 is 343354746.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 317, 518, 861, 714

1. What is the LCM of 317, 518, 861, 714?

Answer: LCM of 317, 518, 861, 714 is 343354746.

2. How to calculate the LCM of 317, 518, 861, 714?

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 317, 518, 861, 714.

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}.