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LCM of 247, 817, 824, 618, 322

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


Find the LCM of 247, 817, 824, 618, 322 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 247, 817, 824, 618, 322. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 247,817,824,618,322

Given numbers are 247,817,824,618,322

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

The LCM of 247,817,824,618,322 is 4227073032.

Find LCM of 247,817,824,618,322 with Prime Factorization


2 247, 817, 824, 618, 322
19 247, 817, 412, 309, 161
103 13, 43, 412, 309, 161
13, 43, 4, 3, 161

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

2 x 19 x 103 x 13 x 43 x 4 x 3 x 161 = 4227073032

Therefore, the lowest common multiple of 247,817,824,618,322 is 4227073032.

LCM Formula to Find Lowest Common Multiple of 247,817,824,618,322

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.

247 x 817 x 824 x 618 x 322 = 33089527694496

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.

247 : 1, 13, 19, 247

817 : 1, 19, 43, 817

824 : 1, 2, 4, 8, 103, 206, 412, 824

618 : 1, 2, 3, 6, 103, 206, 309, 618

322 : 1, 2, 7, 14, 23, 46, 161, 322

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,817,824,618,322, is 1.

Now, the common factors can be found like this.

247:13x 19

817:19x 43

824:2x 2x 2x 103

618:2x 3x 103

322:2x 7x 23

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

2x 2x 19x 103 = 7828

Therefore, the value for common factors is 7828.

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 = 33089527694496/(1x7828)

LCM = 33089527694496/7828

LCM = 4227073032

Thus, we can understand that the LCM of 247,817,824,618,322 is 4227073032.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 247, 817, 824, 618, 322

1. What is the LCM of 247, 817, 824, 618, 322?

Answer: LCM of 247, 817, 824, 618, 322 is 4227073032.

2. How to calculate the LCM of 247, 817, 824, 618, 322?

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 247, 817, 824, 618, 322.

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}.