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LCM of 344, 990, 996, 726

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


Find the LCM of 344, 990, 996, 726 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 344, 990, 996, 726. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 344,990,996,726

Given numbers are 344,990,996,726

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

The LCM of 344,990,996,726 is 155465640.

Find LCM of 344,990,996,726 with Prime Factorization


2 344, 990, 996, 726
2 172, 495, 498, 363
3 86, 495, 249, 363
11 86, 165, 83, 121
86, 15, 83, 11

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

2 x 2 x 3 x 11 x 86 x 15 x 83 x 11 = 155465640

Therefore, the lowest common multiple of 344,990,996,726 is 155465640.

LCM Formula to Find Lowest Common Multiple of 344,990,996,726

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.

344 x 990 x 996 x 726 = 246257573760

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.

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

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,990,996,726, is 2.

Now, the common factors can be found like this.

344:2x 2x 2x 43

990:2x 3x 3x 5x 11

996:2x 2x 3x 83

726:2x 3x 11x 11

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 3x 3x 11 = 792

Therefore, the value for common factors is 792.

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 = 246257573760/(2x792)

LCM = 246257573760/1584

LCM = 155465640

Thus, we can understand that the LCM of 344,990,996,726 is 155465640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 344, 990, 996, 726

1. What is the LCM of 344, 990, 996, 726?

Answer: LCM of 344, 990, 996, 726 is 155465640.

2. How to calculate the LCM of 344, 990, 996, 726?

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 344, 990, 996, 726.

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}.