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LCM of 130, 236, 859, 438, 520

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


Find the LCM of 130, 236, 859, 438, 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 130, 236, 859, 438, 520. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 130,236,859,438,520

Given numbers are 130,236,859,438,520

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

The LCM of 130,236,859,438,520 is 5771552280.

Find LCM of 130,236,859,438,520 with Prime Factorization


2 130, 236, 859, 438, 520
2 65, 118, 859, 219, 260
5 65, 59, 859, 219, 130
13 13, 59, 859, 219, 26
1, 59, 859, 219, 2

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

2 x 2 x 5 x 13 x 1 x 59 x 859 x 219 x 2 = 5771552280

Therefore, the lowest common multiple of 130,236,859,438,520 is 5771552280.

LCM Formula to Find Lowest Common Multiple of 130,236,859,438,520

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.

130 x 236 x 859 x 438 x 520 = 6002414371200

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.

130 : 1, 2, 5, 10, 13, 26, 65, 130

236 : 1, 2, 4, 59, 118, 236

859 : 1, 859

438 : 1, 2, 3, 6, 73, 146, 219, 438

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 130,236,859,438,520, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

236:2x 2x 59

859:859

438:2x 3x 73

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 2x 2x 2x 5x 13 = 1040

Therefore, the value for common factors is 1040.

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 = 6002414371200/(1x1040)

LCM = 6002414371200/1040

LCM = 5771552280

Thus, we can understand that the LCM of 130,236,859,438,520 is 5771552280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 130, 236, 859, 438, 520

1. What is the LCM of 130, 236, 859, 438, 520?

Answer: LCM of 130, 236, 859, 438, 520 is 5771552280.

2. How to calculate the LCM of 130, 236, 859, 438, 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 130, 236, 859, 438, 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}.