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LCM of 192, 102, 158, 867

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


Find the LCM of 192, 102, 158, 867 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 192, 102, 158, 867. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 192,102,158,867

Given numbers are 192,102,158,867

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

The LCM of 192,102,158,867 is 4383552.

Find LCM of 192,102,158,867 with Prime Factorization


2 192, 102, 158, 867
3 96, 51, 79, 867
17 32, 17, 79, 289
32, 1, 79, 17

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

2 x 3 x 17 x 32 x 1 x 79 x 17 = 4383552

Therefore, the lowest common multiple of 192,102,158,867 is 4383552.

LCM Formula to Find Lowest Common Multiple of 192,102,158,867

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.

192 x 102 x 158 x 867 = 2682733824

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.

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

102 : 1, 2, 3, 6, 17, 34, 51, 102

158 : 1, 2, 79, 158

867 : 1, 3, 17, 51, 289, 867

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,102,158,867, is 1.

Now, the common factors can be found like this.

192:2x 2x 2x 2x 2x 2x 3

102:2x 3x 17

158:2x 79

867:3x 17x 17

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 3x 3x 17 = 612

Therefore, the value for common factors is 612.

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 = 2682733824/(1x612)

LCM = 2682733824/612

LCM = 4383552

Thus, we can understand that the LCM of 192,102,158,867 is 4383552.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 192, 102, 158, 867

1. What is the LCM of 192, 102, 158, 867?

Answer: LCM of 192, 102, 158, 867 is 4383552.

2. How to calculate the LCM of 192, 102, 158, 867?

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 192, 102, 158, 867.

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}.