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LCM of 936, 319, 517, 319

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


Find the LCM of 936, 319, 517, 319 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 936, 319, 517, 319. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 936,319,517,319

Given numbers are 936,319,517,319

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

The LCM of 936,319,517,319 is 14033448.

Find LCM of 936,319,517,319 with Prime Factorization


11 936, 319, 517, 319
29 936, 29, 47, 29
936, 1, 47, 1

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

11 x 29 x 936 x 1 x 47 x 1 = 14033448

Therefore, the lowest common multiple of 936,319,517,319 is 14033448.

LCM Formula to Find Lowest Common Multiple of 936,319,517,319

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.

936 x 319 x 517 x 319 = 49243369032

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.

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

319 : 1, 11, 29, 319

517 : 1, 11, 47, 517

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,319,517,319, is 1.

Now, the common factors can be found like this.

936:2x 2x 2x 3x 3x 13

319:11x 29

517:11x 47

319:11x 29

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

11x 11x 29 = 3509

Therefore, the value for common factors is 3509.

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 = 49243369032/(1x3509)

LCM = 49243369032/3509

LCM = 14033448

Thus, we can understand that the LCM of 936,319,517,319 is 14033448.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 936, 319, 517, 319

1. What is the LCM of 936, 319, 517, 319?

Answer: LCM of 936, 319, 517, 319 is 14033448.

2. How to calculate the LCM of 936, 319, 517, 319?

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 936, 319, 517, 319.

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}.