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LCM of 680, 515, 586, 533

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


Find the LCM of 680, 515, 586, 533 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 680, 515, 586, 533. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 680,515,586,533

Given numbers are 680,515,586,533

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

The LCM of 680,515,586,533 is 10938076760.

Find LCM of 680,515,586,533 with Prime Factorization


2 680, 515, 586, 533
5 340, 515, 293, 533
68, 103, 293, 533

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

2 x 5 x 68 x 103 x 293 x 533 = 10938076760

Therefore, the lowest common multiple of 680,515,586,533 is 10938076760.

LCM Formula to Find Lowest Common Multiple of 680,515,586,533

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.

680 x 515 x 586 x 533 = 109380767600

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.

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

515 : 1, 5, 103, 515

586 : 1, 2, 293, 586

533 : 1, 13, 41, 533

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,515,586,533, is 1.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

515:5x 103

586:2x 293

533:13x 41

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 109380767600/(1x10)

LCM = 109380767600/10

LCM = 10938076760

Thus, we can understand that the LCM of 680,515,586,533 is 10938076760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 680, 515, 586, 533

1. What is the LCM of 680, 515, 586, 533?

Answer: LCM of 680, 515, 586, 533 is 10938076760.

2. How to calculate the LCM of 680, 515, 586, 533?

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 680, 515, 586, 533.

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}.