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LCM of 356, 205, 946, 121

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


Find the LCM of 356, 205, 946, 121 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 356, 205, 946, 121. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 356,205,946,121

Given numbers are 356,205,946,121

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

The LCM of 356,205,946,121 is 379714940.

Find LCM of 356,205,946,121 with Prime Factorization


2 356, 205, 946, 121
11 178, 205, 473, 121
178, 205, 43, 11

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

2 x 11 x 178 x 205 x 43 x 11 = 379714940

Therefore, the lowest common multiple of 356,205,946,121 is 379714940.

LCM Formula to Find Lowest Common Multiple of 356,205,946,121

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.

356 x 205 x 946 x 121 = 8353728680

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.

356 : 1, 2, 4, 89, 178, 356

205 : 1, 5, 41, 205

946 : 1, 2, 11, 22, 43, 86, 473, 946

121 : 1, 11, 121

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,205,946,121, is 1.

Now, the common factors can be found like this.

356:2x 2x 89

205:5x 41

946:2x 11x 43

121:11x 11

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 8353728680/(1x22)

LCM = 8353728680/22

LCM = 379714940

Thus, we can understand that the LCM of 356,205,946,121 is 379714940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 356, 205, 946, 121

1. What is the LCM of 356, 205, 946, 121?

Answer: LCM of 356, 205, 946, 121 is 379714940.

2. How to calculate the LCM of 356, 205, 946, 121?

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 356, 205, 946, 121.

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}.