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LCM of 313, 351, 495, 333, 949

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


Find the LCM of 313, 351, 495, 333, 949 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 313, 351, 495, 333, 949. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 313,351,495,333,949

Given numbers are 313,351,495,333,949

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

The LCM of 313,351,495,333,949 is 16320697965.

Find LCM of 313,351,495,333,949 with Prime Factorization


3 313, 351, 495, 333, 949
3 313, 117, 165, 111, 949
13 313, 39, 55, 37, 949
313, 3, 55, 37, 73

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

3 x 3 x 13 x 313 x 3 x 55 x 37 x 73 = 16320697965

Therefore, the lowest common multiple of 313,351,495,333,949 is 16320697965.

LCM Formula to Find Lowest Common Multiple of 313,351,495,333,949

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.

313 x 351 x 495 x 333 x 949 = 17185694957145

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.

313 : 1, 313

351 : 1, 3, 9, 13, 27, 39, 117, 351

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

333 : 1, 3, 9, 37, 111, 333

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,351,495,333,949, is 1.

Now, the common factors can be found like this.

313:313

351:3x 3x 3x 13

495:3x 3x 5x 11

333:3x 3x 37

949:13x 73

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

3x 3x 3x 3x 13 = 1053

Therefore, the value for common factors is 1053.

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 = 17185694957145/(1x1053)

LCM = 17185694957145/1053

LCM = 16320697965

Thus, we can understand that the LCM of 313,351,495,333,949 is 16320697965.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 313, 351, 495, 333, 949

1. What is the LCM of 313, 351, 495, 333, 949?

Answer: LCM of 313, 351, 495, 333, 949 is 16320697965.

2. How to calculate the LCM of 313, 351, 495, 333, 949?

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 313, 351, 495, 333, 949.

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}.