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LCM of 315, 558, 706, 819, 107

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


Find the LCM of 315, 558, 706, 819, 107 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 315, 558, 706, 819, 107. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 315,558,706,819,107

Given numbers are 315,558,706,819,107

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

The LCM of 315,558,706,819,107 is 9589679190.

Find LCM of 315,558,706,819,107 with Prime Factorization


2 315, 558, 706, 819, 107
3 315, 279, 353, 819, 107
3 105, 93, 353, 273, 107
7 35, 31, 353, 91, 107
5, 31, 353, 13, 107

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

2 x 3 x 3 x 7 x 5 x 31 x 353 x 13 x 107 = 9589679190

Therefore, the lowest common multiple of 315,558,706,819,107 is 9589679190.

LCM Formula to Find Lowest Common Multiple of 315,558,706,819,107

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.

315 x 558 x 706 x 819 x 107 = 10874696201460

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.

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

706 : 1, 2, 353, 706

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,558,706,819,107, is 1.

Now, the common factors can be found like this.

315:3x 3x 5x 7

558:2x 3x 3x 31

706:2x 353

819:3x 3x 7x 13

107:107

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

2x 3x 3x 3x 3x 7 = 1134

Therefore, the value for common factors is 1134.

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 = 10874696201460/(1x1134)

LCM = 10874696201460/1134

LCM = 9589679190

Thus, we can understand that the LCM of 315,558,706,819,107 is 9589679190.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 315, 558, 706, 819, 107

1. What is the LCM of 315, 558, 706, 819, 107?

Answer: LCM of 315, 558, 706, 819, 107 is 9589679190.

2. How to calculate the LCM of 315, 558, 706, 819, 107?

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 315, 558, 706, 819, 107.

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}.