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LCM of 816, 116, 606, 770

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


Find the LCM of 816, 116, 606, 770 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, 116, 606, 770. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 816,116,606,770

Given numbers are 816,116,606,770

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

The LCM of 816,116,606,770 is 920174640.

Find LCM of 816,116,606,770 with Prime Factorization


2 816, 116, 606, 770
2 408, 58, 303, 385
3 204, 29, 303, 385
68, 29, 101, 385

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

2 x 2 x 3 x 68 x 29 x 101 x 385 = 920174640

Therefore, the lowest common multiple of 816,116,606,770 is 920174640.

LCM Formula to Find Lowest Common Multiple of 816,116,606,770

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 116 x 606 x 770 = 44168382720

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

116 : 1, 2, 4, 29, 58, 116

606 : 1, 2, 3, 6, 101, 202, 303, 606

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,116,606,770, is 2.

Now, the common factors can be found like this.

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

116:2x 2x 29

606:2x 3x 101

770:2x 5x 7x 11

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 3 = 24

Therefore, the value for common factors is 24.

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 = 44168382720/(2x24)

LCM = 44168382720/48

LCM = 920174640

Thus, we can understand that the LCM of 816,116,606,770 is 920174640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 816, 116, 606, 770

1. What is the LCM of 816, 116, 606, 770?

Answer: LCM of 816, 116, 606, 770 is 920174640.

2. How to calculate the LCM of 816, 116, 606, 770?

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, 116, 606, 770.

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}.