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LCM of 829, 830, 166

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


Find the LCM of 829, 830, 166 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 829, 830, 166. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 829,830,166

Given numbers are 829,830,166

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

The LCM of 829,830,166 is 688070.

Find LCM of 829,830,166 with Prime Factorization


2 829, 830, 166
83 829, 415, 83
829, 5, 1

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

2 x 83 x 829 x 5 x 1 = 688070

Therefore, the lowest common multiple of 829,830,166 is 688070.

LCM Formula to Find Lowest Common Multiple of 829,830,166

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.

829 x 830 x 166 = 114219620

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.

829 : 1, 829

830 : 1, 2, 5, 10, 83, 166, 415, 830

166 : 1, 2, 83, 166

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,830,166, is 1.

Now, the common factors can be found like this.

829:829

830:2x 5x 83

166:2x 83

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

2x 83 = 166

Therefore, the value for common factors is 166.

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 = 114219620/(1x166)

LCM = 114219620/166

LCM = 688070

Thus, we can understand that the LCM of 829,830,166 is 688070.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 829, 830, 166

1. What is the LCM of 829, 830, 166?

Answer: LCM of 829, 830, 166 is 688070.

2. How to calculate the LCM of 829, 830, 166?

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 829, 830, 166.

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}.