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LCM of 520, 240, 235, 138, 326

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


Find the LCM of 520, 240, 235, 138, 326 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 520, 240, 235, 138, 326. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 520,240,235,138,326

Given numbers are 520,240,235,138,326

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

The LCM of 520,240,235,138,326 is 549753360.

Find LCM of 520,240,235,138,326 with Prime Factorization


2 520, 240, 235, 138, 326
2 260, 120, 235, 69, 163
2 130, 60, 235, 69, 163
3 65, 30, 235, 69, 163
5 65, 10, 235, 23, 163
13, 2, 47, 23, 163

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

2 x 2 x 2 x 3 x 5 x 13 x 2 x 47 x 23 x 163 = 549753360

Therefore, the lowest common multiple of 520,240,235,138,326 is 549753360.

LCM Formula to Find Lowest Common Multiple of 520,240,235,138,326

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.

520 x 240 x 235 x 138 x 326 = 1319408064000

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.

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

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

235 : 1, 5, 47, 235

138 : 1, 2, 3, 6, 23, 46, 69, 138

326 : 1, 2, 163, 326

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,240,235,138,326, is 1.

Now, the common factors can be found like this.

520:2x 2x 2x 5x 13

240:2x 2x 2x 2x 3x 5

235:5x 47

138:2x 3x 23

326:2x 163

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 2x 2x 3x 5x 5 = 2400

Therefore, the value for common factors is 2400.

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 = 1319408064000/(1x2400)

LCM = 1319408064000/2400

LCM = 549753360

Thus, we can understand that the LCM of 520,240,235,138,326 is 549753360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 520, 240, 235, 138, 326

1. What is the LCM of 520, 240, 235, 138, 326?

Answer: LCM of 520, 240, 235, 138, 326 is 549753360.

2. How to calculate the LCM of 520, 240, 235, 138, 326?

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 520, 240, 235, 138, 326.

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}.