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LCM of 831, 457, 668, 520

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


Find the LCM of 831, 457, 668, 520 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 831, 457, 668, 520. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 831,457,668,520

Given numbers are 831,457,668,520

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

The LCM of 831,457,668,520 is 32978966280.

Find LCM of 831,457,668,520 with Prime Factorization


2 831, 457, 668, 520
2 831, 457, 334, 260
831, 457, 167, 130

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

2 x 2 x 831 x 457 x 167 x 130 = 32978966280

Therefore, the lowest common multiple of 831,457,668,520 is 32978966280.

LCM Formula to Find Lowest Common Multiple of 831,457,668,520

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.

831 x 457 x 668 x 520 = 131915865120

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.

831 : 1, 3, 277, 831

457 : 1, 457

668 : 1, 2, 4, 167, 334, 668

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,457,668,520, is 1.

Now, the common factors can be found like this.

831:3x 277

457:457

668:2x 2x 167

520:2x 2x 2x 5x 13

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 131915865120/(1x4)

LCM = 131915865120/4

LCM = 32978966280

Thus, we can understand that the LCM of 831,457,668,520 is 32978966280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 831, 457, 668, 520

1. What is the LCM of 831, 457, 668, 520?

Answer: LCM of 831, 457, 668, 520 is 32978966280.

2. How to calculate the LCM of 831, 457, 668, 520?

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 831, 457, 668, 520.

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}.