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LCM of 716, 807, 310, 300, 686

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


Find the LCM of 716, 807, 310, 300, 686 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 716, 807, 310, 300, 686. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 716,807,310,300,686

Given numbers are 716,807,310,300,686

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

The LCM of 716,807,310,300,686 is 153596874900.

Find LCM of 716,807,310,300,686 with Prime Factorization


2 716, 807, 310, 300, 686
2 358, 807, 155, 150, 343
3 179, 807, 155, 75, 343
5 179, 269, 155, 25, 343
179, 269, 31, 5, 343

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

2 x 2 x 3 x 5 x 179 x 269 x 31 x 5 x 343 = 153596874900

Therefore, the lowest common multiple of 716,807,310,300,686 is 153596874900.

LCM Formula to Find Lowest Common Multiple of 716,807,310,300,686

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.

716 x 807 x 310 x 300 x 686 = 36863249976000

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.

716 : 1, 2, 4, 179, 358, 716

807 : 1, 3, 269, 807

310 : 1, 2, 5, 10, 31, 62, 155, 310

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

686 : 1, 2, 7, 14, 49, 98, 343, 686

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,807,310,300,686, is 1.

Now, the common factors can be found like this.

716:2x 2x 179

807:3x 269

310:2x 5x 31

300:2x 2x 3x 5x 5

686:2x 7x 7x 7

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 3x 5 = 240

Therefore, the value for common factors is 240.

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 = 36863249976000/(1x240)

LCM = 36863249976000/240

LCM = 153596874900

Thus, we can understand that the LCM of 716,807,310,300,686 is 153596874900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 716, 807, 310, 300, 686

1. What is the LCM of 716, 807, 310, 300, 686?

Answer: LCM of 716, 807, 310, 300, 686 is 153596874900.

2. How to calculate the LCM of 716, 807, 310, 300, 686?

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 716, 807, 310, 300, 686.

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}.