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LCM of 126, 712, 826, 304, 344

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


Find the LCM of 126, 712, 826, 304, 344 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 126, 712, 826, 304, 344. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 126,712,826,304,344

Given numbers are 126,712,826,304,344

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

The LCM of 126,712,826,304,344 is 4324387536.

Find LCM of 126,712,826,304,344 with Prime Factorization


2 126, 712, 826, 304, 344
2 63, 356, 413, 152, 172
2 63, 178, 413, 76, 86
7 63, 89, 413, 38, 43
9, 89, 59, 38, 43

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

2 x 2 x 2 x 7 x 9 x 89 x 59 x 38 x 43 = 4324387536

Therefore, the lowest common multiple of 126,712,826,304,344 is 4324387536.

LCM Formula to Find Lowest Common Multiple of 126,712,826,304,344

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.

126 x 712 x 826 x 304 x 344 = 7749302464512

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.

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

712 : 1, 2, 4, 8, 89, 178, 356, 712

826 : 1, 2, 7, 14, 59, 118, 413, 826

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,712,826,304,344, is 2.

Now, the common factors can be found like this.

126:2x 3x 3x 7

712:2x 2x 2x 89

826:2x 7x 59

304:2x 2x 2x 2x 19

344:2x 2x 2x 43

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 2x 2x 2x 7 = 896

Therefore, the value for common factors is 896.

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 = 7749302464512/(2x896)

LCM = 7749302464512/1792

LCM = 4324387536

Thus, we can understand that the LCM of 126,712,826,304,344 is 4324387536.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 126, 712, 826, 304, 344

1. What is the LCM of 126, 712, 826, 304, 344?

Answer: LCM of 126, 712, 826, 304, 344 is 4324387536.

2. How to calculate the LCM of 126, 712, 826, 304, 344?

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 126, 712, 826, 304, 344.

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}.