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LCM of 183, 858, 678, 397

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


Find the LCM of 183, 858, 678, 397 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 183, 858, 678, 397. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 183,858,678,397

Given numbers are 183,858,678,397

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

The LCM of 183,858,678,397 is 2347935018.

Find LCM of 183,858,678,397 with Prime Factorization


2 183, 858, 678, 397
3 183, 429, 339, 397
61, 143, 113, 397

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

2 x 3 x 61 x 143 x 113 x 397 = 2347935018

Therefore, the lowest common multiple of 183,858,678,397 is 2347935018.

LCM Formula to Find Lowest Common Multiple of 183,858,678,397

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.

183 x 858 x 678 x 397 = 42262830324

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.

183 : 1, 3, 61, 183

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

678 : 1, 2, 3, 6, 113, 226, 339, 678

397 : 1, 397

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 183,858,678,397, is 1.

Now, the common factors can be found like this.

183:3x 61

858:2x 3x 11x 13

678:2x 3x 113

397:397

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 3 = 18

Therefore, the value for common factors is 18.

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 = 42262830324/(1x18)

LCM = 42262830324/18

LCM = 2347935018

Thus, we can understand that the LCM of 183,858,678,397 is 2347935018.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 183, 858, 678, 397

1. What is the LCM of 183, 858, 678, 397?

Answer: LCM of 183, 858, 678, 397 is 2347935018.

2. How to calculate the LCM of 183, 858, 678, 397?

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 183, 858, 678, 397.

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}.