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LCM of 944, 983, 929, 671, 514

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


Find the LCM of 944, 983, 929, 671, 514 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 944, 983, 929, 671, 514. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 944,983,929,671,514

Given numbers are 944,983,929,671,514

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

The LCM of 944,983,929,671,514 is 148660938307376.

Find LCM of 944,983,929,671,514 with Prime Factorization


2 944, 983, 929, 671, 514
472, 983, 929, 671, 257

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

2 x 472 x 983 x 929 x 671 x 257 = 148660938307376

Therefore, the lowest common multiple of 944,983,929,671,514 is 148660938307376.

LCM Formula to Find Lowest Common Multiple of 944,983,929,671,514

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.

944 x 983 x 929 x 671 x 514 = 297321876614752

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.

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

983 : 1, 983

929 : 1, 929

671 : 1, 11, 61, 671

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 944,983,929,671,514, is 1.

Now, the common factors can be found like this.

944:2x 2x 2x 2x 59

983:983

929:929

671:11x 61

514:2x 257

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

2 = 2

Therefore, the value for common factors is 2.

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 = 297321876614752/(1x2)

LCM = 297321876614752/2

LCM = 148660938307376

Thus, we can understand that the LCM of 944,983,929,671,514 is 148660938307376.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 944, 983, 929, 671, 514

1. What is the LCM of 944, 983, 929, 671, 514?

Answer: LCM of 944, 983, 929, 671, 514 is 148660938307376.

2. How to calculate the LCM of 944, 983, 929, 671, 514?

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 944, 983, 929, 671, 514.

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}.