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LCM of 693, 171, 170, 816

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


Find the LCM of 693, 171, 170, 816 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 693, 171, 170, 816. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 693,171,170,816

Given numbers are 693,171,170,816

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

The LCM of 693,171,170,816 is 17907120.

Find LCM of 693,171,170,816 with Prime Factorization


2 693, 171, 170, 816
3 693, 171, 85, 408
3 231, 57, 85, 136
17 77, 19, 85, 136
77, 19, 5, 8

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

2 x 3 x 3 x 17 x 77 x 19 x 5 x 8 = 17907120

Therefore, the lowest common multiple of 693,171,170,816 is 17907120.

LCM Formula to Find Lowest Common Multiple of 693,171,170,816

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.

693 x 171 x 170 x 816 = 16438736160

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.

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 693,171,170,816, is 1.

Now, the common factors can be found like this.

693:3x 3x 7x 11

171:3x 3x 19

170:2x 5x 17

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

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 3x 3x 17 = 918

Therefore, the value for common factors is 918.

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 = 16438736160/(1x918)

LCM = 16438736160/918

LCM = 17907120

Thus, we can understand that the LCM of 693,171,170,816 is 17907120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 693, 171, 170, 816

1. What is the LCM of 693, 171, 170, 816?

Answer: LCM of 693, 171, 170, 816 is 17907120.

2. How to calculate the LCM of 693, 171, 170, 816?

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 693, 171, 170, 816.

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}.