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LCM of 129, 169, 221, 920

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


Find the LCM of 129, 169, 221, 920 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, 169, 221, 920. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 129,169,221,920

Given numbers are 129,169,221,920

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

The LCM of 129,169,221,920 is 340967640.

Find LCM of 129,169,221,920 with Prime Factorization


13 129, 169, 221, 920
129, 13, 17, 920

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

13 x 129 x 13 x 17 x 920 = 340967640

Therefore, the lowest common multiple of 129,169,221,920 is 340967640.

LCM Formula to Find Lowest Common Multiple of 129,169,221,920

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 169 x 221 x 920 = 4432579320

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

169 : 1, 13, 169

221 : 1, 13, 17, 221

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 129,169,221,920, is 1.

Now, the common factors can be found like this.

129:3x 43

169:13x 13

221:13x 17

920:2x 2x 2x 5x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13 = 13

Therefore, the value for common factors is 13.

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 = 4432579320/(1x13)

LCM = 4432579320/13

LCM = 340967640

Thus, we can understand that the LCM of 129,169,221,920 is 340967640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 129, 169, 221, 920

1. What is the LCM of 129, 169, 221, 920?

Answer: LCM of 129, 169, 221, 920 is 340967640.

2. How to calculate the LCM of 129, 169, 221, 920?

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, 169, 221, 920.

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}.