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LCM of 315, 217, 207, 714, 865

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


Find the LCM of 315, 217, 207, 714, 865 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, 217, 207, 714, 865. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 315,217,207,714,865

Given numbers are 315,217,207,714,865

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

The LCM of 315,217,207,714,865 is 1321067790.

Find LCM of 315,217,207,714,865 with Prime Factorization


3 315, 217, 207, 714, 865
3 105, 217, 69, 238, 865
5 35, 217, 23, 238, 865
7 7, 217, 23, 238, 173
1, 31, 23, 34, 173

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

3 x 3 x 5 x 7 x 1 x 31 x 23 x 34 x 173 = 1321067790

Therefore, the lowest common multiple of 315,217,207,714,865 is 1321067790.

LCM Formula to Find Lowest Common Multiple of 315,217,207,714,865

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 217 x 207 x 714 x 865 = 8738863430850

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

217 : 1, 7, 31, 217

207 : 1, 3, 9, 23, 69, 207

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

865 : 1, 5, 173, 865

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,217,207,714,865, is 1.

Now, the common factors can be found like this.

315:3x 3x 5x 7

217:7x 31

207:3x 3x 23

714:2x 3x 7x 17

865:5x 173

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

3x 3x 3x 5x 7x 7 = 6615

Therefore, the value for common factors is 6615.

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 = 8738863430850/(1x6615)

LCM = 8738863430850/6615

LCM = 1321067790

Thus, we can understand that the LCM of 315,217,207,714,865 is 1321067790.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 315, 217, 207, 714, 865

1. What is the LCM of 315, 217, 207, 714, 865?

Answer: LCM of 315, 217, 207, 714, 865 is 1321067790.

2. How to calculate the LCM of 315, 217, 207, 714, 865?

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, 217, 207, 714, 865.

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}.