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LCM of 129, 199, 657, 867

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


Find the LCM of 129, 199, 657, 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 129, 199, 657, 867. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 129,199,657,867

Given numbers are 129,199,657,867

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

The LCM of 129,199,657,867 is 1624743261.

Find LCM of 129,199,657,867 with Prime Factorization


3 129, 199, 657, 867
43, 199, 219, 289

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

3 x 43 x 199 x 219 x 289 = 1624743261

Therefore, the lowest common multiple of 129,199,657,867 is 1624743261.

LCM Formula to Find Lowest Common Multiple of 129,199,657,867

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.

129 x 199 x 657 x 867 = 14622689349

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.

129 : 1, 3, 43, 129

199 : 1, 199

657 : 1, 3, 9, 73, 219, 657

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 129,199,657,867, is 1.

Now, the common factors can be found like this.

129:3x 43

199:199

657:3x 3x 73

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.

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 14622689349/(1x9)

LCM = 14622689349/9

LCM = 1624743261

Thus, we can understand that the LCM of 129,199,657,867 is 1624743261.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 129, 199, 657, 867

1. What is the LCM of 129, 199, 657, 867?

Answer: LCM of 129, 199, 657, 867 is 1624743261.

2. How to calculate the LCM of 129, 199, 657, 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 129, 199, 657, 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}.