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LCM of 815, 959, 713, 372

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


Find the LCM of 815, 959, 713, 372 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 815, 959, 713, 372. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 815,959,713,372

Given numbers are 815,959,713,372

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

The LCM of 815,959,713,372 is 6687241260.

Find LCM of 815,959,713,372 with Prime Factorization


31 815, 959, 713, 372
815, 959, 23, 12

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

31 x 815 x 959 x 23 x 12 = 6687241260

Therefore, the lowest common multiple of 815,959,713,372 is 6687241260.

LCM Formula to Find Lowest Common Multiple of 815,959,713,372

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.

815 x 959 x 713 x 372 = 207304479060

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.

815 : 1, 5, 163, 815

959 : 1, 7, 137, 959

713 : 1, 23, 31, 713

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 815,959,713,372, is 1.

Now, the common factors can be found like this.

815:5x 163

959:7x 137

713:23x 31

372:2x 2x 3x 31

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

31 = 31

Therefore, the value for common factors is 31.

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 = 207304479060/(1x31)

LCM = 207304479060/31

LCM = 6687241260

Thus, we can understand that the LCM of 815,959,713,372 is 6687241260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 815, 959, 713, 372

1. What is the LCM of 815, 959, 713, 372?

Answer: LCM of 815, 959, 713, 372 is 6687241260.

2. How to calculate the LCM of 815, 959, 713, 372?

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 815, 959, 713, 372.

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}.