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LCM of 182, 346, 543, 854

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


Find the LCM of 182, 346, 543, 854 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, 346, 543, 854. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 182,346,543,854

Given numbers are 182,346,543,854

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

The LCM of 182,346,543,854 is 1042910778.

Find LCM of 182,346,543,854 with Prime Factorization


2 182, 346, 543, 854
7 91, 173, 543, 427
13, 173, 543, 61

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

2 x 7 x 13 x 173 x 543 x 61 = 1042910778

Therefore, the lowest common multiple of 182,346,543,854 is 1042910778.

LCM Formula to Find Lowest Common Multiple of 182,346,543,854

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 346 x 543 x 854 = 29201501784

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

346 : 1, 2, 173, 346

543 : 1, 3, 181, 543

854 : 1, 2, 7, 14, 61, 122, 427, 854

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,346,543,854, is 1.

Now, the common factors can be found like this.

182:2x 7x 13

346:2x 173

543:3x 181

854:2x 7x 61

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 7 = 28

Therefore, the value for common factors is 28.

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 = 29201501784/(1x28)

LCM = 29201501784/28

LCM = 1042910778

Thus, we can understand that the LCM of 182,346,543,854 is 1042910778.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 182, 346, 543, 854

1. What is the LCM of 182, 346, 543, 854?

Answer: LCM of 182, 346, 543, 854 is 1042910778.

2. How to calculate the LCM of 182, 346, 543, 854?

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, 346, 543, 854.

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}.