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LCM of 339, 949, 570, 646, 705

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


Find the LCM of 339, 949, 570, 646, 705 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 339, 949, 570, 646, 705. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 339,949,570,646,705

Given numbers are 339,949,570,646,705

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

The LCM of 339,949,570,646,705 is 48838946910.

Find LCM of 339,949,570,646,705 with Prime Factorization


2 339, 949, 570, 646, 705
3 339, 949, 285, 323, 705
5 113, 949, 95, 323, 235
19 113, 949, 19, 323, 47
113, 949, 1, 17, 47

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

2 x 3 x 5 x 19 x 113 x 949 x 1 x 17 x 47 = 48838946910

Therefore, the lowest common multiple of 339,949,570,646,705 is 48838946910.

LCM Formula to Find Lowest Common Multiple of 339,949,570,646,705

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.

339 x 949 x 570 x 646 x 705 = 83514599216100

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.

339 : 1, 3, 113, 339

949 : 1, 13, 73, 949

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

646 : 1, 2, 17, 19, 34, 38, 323, 646

705 : 1, 3, 5, 15, 47, 141, 235, 705

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,949,570,646,705, is 1.

Now, the common factors can be found like this.

339:3x 113

949:13x 73

570:2x 3x 5x 19

646:2x 17x 19

705:3x 5x 47

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

2x 3x 3x 5x 19 = 1710

Therefore, the value for common factors is 1710.

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 = 83514599216100/(1x1710)

LCM = 83514599216100/1710

LCM = 48838946910

Thus, we can understand that the LCM of 339,949,570,646,705 is 48838946910.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 339, 949, 570, 646, 705

1. What is the LCM of 339, 949, 570, 646, 705?

Answer: LCM of 339, 949, 570, 646, 705 is 48838946910.

2. How to calculate the LCM of 339, 949, 570, 646, 705?

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 339, 949, 570, 646, 705.

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}.