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LCM of 713, 688, 506, 831

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


Find the LCM of 713, 688, 506, 831 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 713, 688, 506, 831. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 713,688,506,831

Given numbers are 713,688,506,831

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

The LCM of 713,688,506,831 is 4484062704.

Find LCM of 713,688,506,831 with Prime Factorization


2 713, 688, 506, 831
23 713, 344, 253, 831
31, 344, 11, 831

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

2 x 23 x 31 x 344 x 11 x 831 = 4484062704

Therefore, the lowest common multiple of 713,688,506,831 is 4484062704.

LCM Formula to Find Lowest Common Multiple of 713,688,506,831

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.

713 x 688 x 506 x 831 = 206266884384

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.

713 : 1, 23, 31, 713

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

506 : 1, 2, 11, 22, 23, 46, 253, 506

831 : 1, 3, 277, 831

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,688,506,831, is 1.

Now, the common factors can be found like this.

713:23x 31

688:2x 2x 2x 2x 43

506:2x 11x 23

831:3x 277

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 206266884384/(1x46)

LCM = 206266884384/46

LCM = 4484062704

Thus, we can understand that the LCM of 713,688,506,831 is 4484062704.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 713, 688, 506, 831

1. What is the LCM of 713, 688, 506, 831?

Answer: LCM of 713, 688, 506, 831 is 4484062704.

2. How to calculate the LCM of 713, 688, 506, 831?

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 713, 688, 506, 831.

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}.