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LCM of 170, 816, 874, 884, 772

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


Find the LCM of 170, 816, 874, 884, 772 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 170, 816, 874, 884, 772. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 170,816,874,884,772

Given numbers are 170,816,874,884,772

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

The LCM of 170,816,874,884,772 is 4473446640.

Find LCM of 170,816,874,884,772 with Prime Factorization


2 170, 816, 874, 884, 772
2 85, 408, 437, 442, 386
17 85, 204, 437, 221, 193
5, 12, 437, 13, 193

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

2 x 2 x 17 x 5 x 12 x 437 x 13 x 193 = 4473446640

Therefore, the lowest common multiple of 170,816,874,884,772 is 4473446640.

LCM Formula to Find Lowest Common Multiple of 170,816,874,884,772

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.

170 x 816 x 874 x 884 x 772 = 82740869053440

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.

170 : 1, 2, 5, 10, 17, 34, 85, 170

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

874 : 1, 2, 19, 23, 38, 46, 437, 874

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

772 : 1, 2, 4, 193, 386, 772

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 170,816,874,884,772, is 2.

Now, the common factors can be found like this.

170:2x 5x 17

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

874:2x 19x 23

884:2x 2x 13x 17

772:2x 2x 193

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 2x 17x 17 = 9248

Therefore, the value for common factors is 9248.

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 = 82740869053440/(2x9248)

LCM = 82740869053440/18496

LCM = 4473446640

Thus, we can understand that the LCM of 170,816,874,884,772 is 4473446640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 170, 816, 874, 884, 772

1. What is the LCM of 170, 816, 874, 884, 772?

Answer: LCM of 170, 816, 874, 884, 772 is 4473446640.

2. How to calculate the LCM of 170, 816, 874, 884, 772?

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 170, 816, 874, 884, 772.

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}.