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LCM of 121, 528, 451, 163

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


Find the LCM of 121, 528, 451, 163 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, 528, 451, 163. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 121,528,451,163

Given numbers are 121,528,451,163

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

The LCM of 121,528,451,163 is 38814864.

Find LCM of 121,528,451,163 with Prime Factorization


11 121, 528, 451, 163
11, 48, 41, 163

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

11 x 11 x 48 x 41 x 163 = 38814864

Therefore, the lowest common multiple of 121,528,451,163 is 38814864.

LCM Formula to Find Lowest Common Multiple of 121,528,451,163

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 528 x 451 x 163 = 4696598544

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

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

451 : 1, 11, 41, 451

163 : 1, 163

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,528,451,163, is 1.

Now, the common factors can be found like this.

121:11x 11

528:2x 2x 2x 2x 3x 11

451:11x 41

163:163

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

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 4696598544/(1x121)

LCM = 4696598544/121

LCM = 38814864

Thus, we can understand that the LCM of 121,528,451,163 is 38814864.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 121, 528, 451, 163

1. What is the LCM of 121, 528, 451, 163?

Answer: LCM of 121, 528, 451, 163 is 38814864.

2. How to calculate the LCM of 121, 528, 451, 163?

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, 528, 451, 163.

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}.