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LCM of 829, 330, 705, 143

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


Find the LCM of 829, 330, 705, 143 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, 330, 705, 143. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 829,330,705,143

Given numbers are 829,330,705,143

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

The LCM of 829,330,705,143 is 167151270.

Find LCM of 829,330,705,143 with Prime Factorization


3 829, 330, 705, 143
5 829, 110, 235, 143
11 829, 22, 47, 143
829, 2, 47, 13

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

3 x 5 x 11 x 829 x 2 x 47 x 13 = 167151270

Therefore, the lowest common multiple of 829,330,705,143 is 167151270.

LCM Formula to Find Lowest Common Multiple of 829,330,705,143

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 330 x 705 x 143 = 27579959550

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

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

705 : 1, 3, 5, 15, 47, 141, 235, 705

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,330,705,143, is 1.

Now, the common factors can be found like this.

829:829

330:2x 3x 5x 11

705:3x 5x 47

143:11x 13

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

3x 5x 11 = 165

Therefore, the value for common factors is 165.

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 = 27579959550/(1x165)

LCM = 27579959550/165

LCM = 167151270

Thus, we can understand that the LCM of 829,330,705,143 is 167151270.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 829, 330, 705, 143

1. What is the LCM of 829, 330, 705, 143?

Answer: LCM of 829, 330, 705, 143 is 167151270.

2. How to calculate the LCM of 829, 330, 705, 143?

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, 330, 705, 143.

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}.