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LCM of 839, 380, 186, 992

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


Find the LCM of 839, 380, 186, 992 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 839, 380, 186, 992. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 839,380,186,992

Given numbers are 839,380,186,992

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

The LCM of 839,380,186,992 is 237202080.

Find LCM of 839,380,186,992 with Prime Factorization


2 839, 380, 186, 992
2 839, 190, 93, 496
31 839, 95, 93, 248
839, 95, 3, 8

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

2 x 2 x 31 x 839 x 95 x 3 x 8 = 237202080

Therefore, the lowest common multiple of 839,380,186,992 is 237202080.

LCM Formula to Find Lowest Common Multiple of 839,380,186,992

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.

839 x 380 x 186 x 992 = 58826115840

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.

839 : 1, 839

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

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

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 839,380,186,992, is 1.

Now, the common factors can be found like this.

839:839

380:2x 2x 5x 19

186:2x 3x 31

992:2x 2x 2x 2x 2x 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 31 = 248

Therefore, the value for common factors is 248.

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 = 58826115840/(1x248)

LCM = 58826115840/248

LCM = 237202080

Thus, we can understand that the LCM of 839,380,186,992 is 237202080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 839, 380, 186, 992

1. What is the LCM of 839, 380, 186, 992?

Answer: LCM of 839, 380, 186, 992 is 237202080.

2. How to calculate the LCM of 839, 380, 186, 992?

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 839, 380, 186, 992.

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}.