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LCM of 312, 520, 109, 586

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


Find the LCM of 312, 520, 109, 586 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 312, 520, 109, 586. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 312,520,109,586

Given numbers are 312,520,109,586

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

The LCM of 312,520,109,586 is 49821720.

Find LCM of 312,520,109,586 with Prime Factorization


2 312, 520, 109, 586
2 156, 260, 109, 293
2 78, 130, 109, 293
13 39, 65, 109, 293
3, 5, 109, 293

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

2 x 2 x 2 x 13 x 3 x 5 x 109 x 293 = 49821720

Therefore, the lowest common multiple of 312,520,109,586 is 49821720.

LCM Formula to Find Lowest Common Multiple of 312,520,109,586

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.

312 x 520 x 109 x 586 = 10362917760

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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

109 : 1, 109

586 : 1, 2, 293, 586

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,520,109,586, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

520:2x 2x 2x 5x 13

109:109

586:2x 293

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 13 = 208

Therefore, the value for common factors is 208.

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 = 10362917760/(1x208)

LCM = 10362917760/208

LCM = 49821720

Thus, we can understand that the LCM of 312,520,109,586 is 49821720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 312, 520, 109, 586

1. What is the LCM of 312, 520, 109, 586?

Answer: LCM of 312, 520, 109, 586 is 49821720.

2. How to calculate the LCM of 312, 520, 109, 586?

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 312, 520, 109, 586.

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}.