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LCM of 386, 892, 741, 806, 186

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


Find the LCM of 386, 892, 741, 806, 186 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 386, 892, 741, 806, 186. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 386,892,741,806,186

Given numbers are 386,892,741,806,186

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

The LCM of 386,892,741,806,186 is 3954595476.

Find LCM of 386,892,741,806,186 with Prime Factorization


2 386, 892, 741, 806, 186
3 193, 446, 741, 403, 93
13 193, 446, 247, 403, 31
31 193, 446, 19, 31, 31
193, 446, 19, 1, 1

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

2 x 3 x 13 x 31 x 193 x 446 x 19 x 1 x 1 = 3954595476

Therefore, the lowest common multiple of 386,892,741,806,186 is 3954595476.

LCM Formula to Find Lowest Common Multiple of 386,892,741,806,186

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.

386 x 892 x 741 x 806 x 186 = 38248847443872

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.

386 : 1, 2, 193, 386

892 : 1, 2, 4, 223, 446, 892

741 : 1, 3, 13, 19, 39, 57, 247, 741

806 : 1, 2, 13, 26, 31, 62, 403, 806

186 : 1, 2, 3, 6, 31, 62, 93, 186

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 386,892,741,806,186, is 1.

Now, the common factors can be found like this.

386:2x 193

892:2x 2x 223

741:3x 13x 19

806:2x 13x 31

186:2x 3x 31

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 2x 3x 13x 31 = 9672

Therefore, the value for common factors is 9672.

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 = 38248847443872/(1x9672)

LCM = 38248847443872/9672

LCM = 3954595476

Thus, we can understand that the LCM of 386,892,741,806,186 is 3954595476.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 386, 892, 741, 806, 186

1. What is the LCM of 386, 892, 741, 806, 186?

Answer: LCM of 386, 892, 741, 806, 186 is 3954595476.

2. How to calculate the LCM of 386, 892, 741, 806, 186?

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 386, 892, 741, 806, 186.

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}.