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LCM of 393, 505, 524, 817, 863

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


Find the LCM of 393, 505, 524, 817, 863 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 393, 505, 524, 817, 863. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 393,505,524,817,863

Given numbers are 393,505,524,817,863

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

The LCM of 393,505,524,817,863 is 559727664060.

Find LCM of 393,505,524,817,863 with Prime Factorization


131 393, 505, 524, 817, 863
3, 505, 4, 817, 863

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

131 x 3 x 505 x 4 x 817 x 863 = 559727664060

Therefore, the lowest common multiple of 393,505,524,817,863 is 559727664060.

LCM Formula to Find Lowest Common Multiple of 393,505,524,817,863

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.

393 x 505 x 524 x 817 x 863 = 73324323991860

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.

393 : 1, 3, 131, 393

505 : 1, 5, 101, 505

524 : 1, 2, 4, 131, 262, 524

817 : 1, 19, 43, 817

863 : 1, 863

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,505,524,817,863, is 1.

Now, the common factors can be found like this.

393:3x 131

505:5x 101

524:2x 2x 131

817:19x 43

863:863

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

131 = 131

Therefore, the value for common factors is 131.

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 = 73324323991860/(1x131)

LCM = 73324323991860/131

LCM = 559727664060

Thus, we can understand that the LCM of 393,505,524,817,863 is 559727664060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 393, 505, 524, 817, 863

1. What is the LCM of 393, 505, 524, 817, 863?

Answer: LCM of 393, 505, 524, 817, 863 is 559727664060.

2. How to calculate the LCM of 393, 505, 524, 817, 863?

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 393, 505, 524, 817, 863.

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}.