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LCM of 182, 853, 935, 962, 885

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


Find the LCM of 182, 853, 935, 962, 885 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 182, 853, 935, 962, 885. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 182,853,935,962,885

Given numbers are 182,853,935,962,885

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

The LCM of 182,853,935,962,885 is 950620160490.

Find LCM of 182,853,935,962,885 with Prime Factorization


2 182, 853, 935, 962, 885
5 91, 853, 935, 481, 885
13 91, 853, 187, 481, 177
7, 853, 187, 37, 177

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

2 x 5 x 13 x 7 x 853 x 187 x 37 x 177 = 950620160490

Therefore, the lowest common multiple of 182,853,935,962,885 is 950620160490.

LCM Formula to Find Lowest Common Multiple of 182,853,935,962,885

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.

182 x 853 x 935 x 962 x 885 = 123580620863700

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.

182 : 1, 2, 7, 13, 14, 26, 91, 182

853 : 1, 853

935 : 1, 5, 11, 17, 55, 85, 187, 935

962 : 1, 2, 13, 26, 37, 74, 481, 962

885 : 1, 3, 5, 15, 59, 177, 295, 885

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,853,935,962,885, is 1.

Now, the common factors can be found like this.

182:2x 7x 13

853:853

935:5x 11x 17

962:2x 13x 37

885:3x 5x 59

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

2x 5x 13 = 130

Therefore, the value for common factors is 130.

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 = 123580620863700/(1x130)

LCM = 123580620863700/130

LCM = 950620160490

Thus, we can understand that the LCM of 182,853,935,962,885 is 950620160490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 182, 853, 935, 962, 885

1. What is the LCM of 182, 853, 935, 962, 885?

Answer: LCM of 182, 853, 935, 962, 885 is 950620160490.

2. How to calculate the LCM of 182, 853, 935, 962, 885?

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 182, 853, 935, 962, 885.

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}.