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LCM of 929, 929, 515, 334, 585

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


Find the LCM of 929, 929, 515, 334, 585 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 929, 929, 515, 334, 585. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 929,929,515,334,585

Given numbers are 929,929,515,334,585

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

The LCM of 929,929,515,334,585 is 18696282930.

Find LCM of 929,929,515,334,585 with Prime Factorization


5 929, 929, 515, 334, 585
929 929, 929, 103, 334, 117
1, 1, 103, 334, 117

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

5 x 929 x 1 x 1 x 103 x 334 x 117 = 18696282930

Therefore, the lowest common multiple of 929,929,515,334,585 is 18696282930.

LCM Formula to Find Lowest Common Multiple of 929,929,515,334,585

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.

929 x 929 x 515 x 334 x 585 = 86844234209850

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.

929 : 1, 929

929 : 1, 929

515 : 1, 5, 103, 515

334 : 1, 2, 167, 334

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 929,929,515,334,585, is 1.

Now, the common factors can be found like this.

929:929

929:929

515:5x 103

334:2x 167

585:3x 3x 5x 13

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

5x 929 = 4645

Therefore, the value for common factors is 4645.

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 = 86844234209850/(1x4645)

LCM = 86844234209850/4645

LCM = 18696282930

Thus, we can understand that the LCM of 929,929,515,334,585 is 18696282930.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 929, 929, 515, 334, 585

1. What is the LCM of 929, 929, 515, 334, 585?

Answer: LCM of 929, 929, 515, 334, 585 is 18696282930.

2. How to calculate the LCM of 929, 929, 515, 334, 585?

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 929, 929, 515, 334, 585.

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}.