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LCM of 121, 903, 301, 169

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


Find the LCM of 121, 903, 301, 169 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 121, 903, 301, 169. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 121,903,301,169

Given numbers are 121,903,301,169

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

The LCM of 121,903,301,169 is 18465447.

Find LCM of 121,903,301,169 with Prime Factorization


7 121, 903, 301, 169
43 121, 129, 43, 169
121, 3, 1, 169

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

7 x 43 x 121 x 3 x 1 x 169 = 18465447

Therefore, the lowest common multiple of 121,903,301,169 is 18465447.

LCM Formula to Find Lowest Common Multiple of 121,903,301,169

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.

121 x 903 x 301 x 169 = 5558099547

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.

121 : 1, 11, 121

903 : 1, 3, 7, 21, 43, 129, 301, 903

301 : 1, 7, 43, 301

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,903,301,169, is 1.

Now, the common factors can be found like this.

121:11x 11

903:3x 7x 43

301:7x 43

169:13x 13

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

7x 43 = 301

Therefore, the value for common factors is 301.

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 = 5558099547/(1x301)

LCM = 5558099547/301

LCM = 18465447

Thus, we can understand that the LCM of 121,903,301,169 is 18465447.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 121, 903, 301, 169

1. What is the LCM of 121, 903, 301, 169?

Answer: LCM of 121, 903, 301, 169 is 18465447.

2. How to calculate the LCM of 121, 903, 301, 169?

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 121, 903, 301, 169.

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}.