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LCM of 513, 246, 946, 393

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


Find the LCM of 513, 246, 946, 393 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 513, 246, 946, 393. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 513,246,946,393

Given numbers are 513,246,946,393

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

The LCM of 513,246,946,393 is 2606535558.

Find LCM of 513,246,946,393 with Prime Factorization


2 513, 246, 946, 393
3 513, 123, 473, 393
171, 41, 473, 131

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

2 x 3 x 171 x 41 x 473 x 131 = 2606535558

Therefore, the lowest common multiple of 513,246,946,393 is 2606535558.

LCM Formula to Find Lowest Common Multiple of 513,246,946,393

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.

513 x 246 x 946 x 393 = 46917640044

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

246 : 1, 2, 3, 6, 41, 82, 123, 246

946 : 1, 2, 11, 22, 43, 86, 473, 946

393 : 1, 3, 131, 393

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,246,946,393, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

246:2x 3x 41

946:2x 11x 43

393:3x 131

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 3 = 18

Therefore, the value for common factors is 18.

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 = 46917640044/(1x18)

LCM = 46917640044/18

LCM = 2606535558

Thus, we can understand that the LCM of 513,246,946,393 is 2606535558.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 513, 246, 946, 393

1. What is the LCM of 513, 246, 946, 393?

Answer: LCM of 513, 246, 946, 393 is 2606535558.

2. How to calculate the LCM of 513, 246, 946, 393?

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 513, 246, 946, 393.

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}.