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LCM of 816, 724, 326, 547, 966

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


Find the LCM of 816, 724, 326, 547, 966 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 816, 724, 326, 547, 966. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 816,724,326,547,966

Given numbers are 816,724,326,547,966

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

The LCM of 816,724,326,547,966 is 2120164412016.

Find LCM of 816,724,326,547,966 with Prime Factorization


2 816, 724, 326, 547, 966
2 408, 362, 163, 547, 483
3 204, 181, 163, 547, 483
68, 181, 163, 547, 161

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

2 x 2 x 3 x 68 x 181 x 163 x 547 x 161 = 2120164412016

Therefore, the lowest common multiple of 816,724,326,547,966 is 2120164412016.

LCM Formula to Find Lowest Common Multiple of 816,724,326,547,966

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.

816 x 724 x 326 x 547 x 966 = 101767891776768

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.

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

724 : 1, 2, 4, 181, 362, 724

326 : 1, 2, 163, 326

547 : 1, 547

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,724,326,547,966, is 1.

Now, the common factors can be found like this.

816:2x 2x 2x 2x 3x 17

724:2x 2x 181

326:2x 163

547:547

966:2x 3x 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 2x 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 101767891776768/(1x48)

LCM = 101767891776768/48

LCM = 2120164412016

Thus, we can understand that the LCM of 816,724,326,547,966 is 2120164412016.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 816, 724, 326, 547, 966

1. What is the LCM of 816, 724, 326, 547, 966?

Answer: LCM of 816, 724, 326, 547, 966 is 2120164412016.

2. How to calculate the LCM of 816, 724, 326, 547, 966?

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 816, 724, 326, 547, 966.

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}.