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LCM of 231, 710, 518, 680

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


Find the LCM of 231, 710, 518, 680 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 231, 710, 518, 680. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 231,710,518,680

Given numbers are 231,710,518,680

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

The LCM of 231,710,518,680 is 412649160.

Find LCM of 231,710,518,680 with Prime Factorization


2 231, 710, 518, 680
5 231, 355, 259, 340
7 231, 71, 259, 68
33, 71, 37, 68

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

2 x 5 x 7 x 33 x 71 x 37 x 68 = 412649160

Therefore, the lowest common multiple of 231,710,518,680 is 412649160.

LCM Formula to Find Lowest Common Multiple of 231,710,518,680

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.

231 x 710 x 518 x 680 = 57770882400

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.

231 : 1, 3, 7, 11, 21, 33, 77, 231

710 : 1, 2, 5, 10, 71, 142, 355, 710

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

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,710,518,680, is 1.

Now, the common factors can be found like this.

231:3x 7x 11

710:2x 5x 71

518:2x 7x 37

680:2x 2x 2x 5x 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 5x 7 = 140

Therefore, the value for common factors is 140.

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 = 57770882400/(1x140)

LCM = 57770882400/140

LCM = 412649160

Thus, we can understand that the LCM of 231,710,518,680 is 412649160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 231, 710, 518, 680

1. What is the LCM of 231, 710, 518, 680?

Answer: LCM of 231, 710, 518, 680 is 412649160.

2. How to calculate the LCM of 231, 710, 518, 680?

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 231, 710, 518, 680.

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}.