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LCM of 422, 146, 839, 934, 470

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


Find the LCM of 422, 146, 839, 934, 470 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 422, 146, 839, 934, 470. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 422,146,839,934,470

Given numbers are 422,146,839,934,470

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

The LCM of 422,146,839,934,470 is 2836494950330.

Find LCM of 422,146,839,934,470 with Prime Factorization


2 422, 146, 839, 934, 470
211, 73, 839, 467, 235

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

2 x 211 x 73 x 839 x 467 x 235 = 2836494950330

Therefore, the lowest common multiple of 422,146,839,934,470 is 2836494950330.

LCM Formula to Find Lowest Common Multiple of 422,146,839,934,470

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.

422 x 146 x 839 x 934 x 470 = 22691959602640

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.

422 : 1, 2, 211, 422

146 : 1, 2, 73, 146

839 : 1, 839

934 : 1, 2, 467, 934

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,146,839,934,470, is 1.

Now, the common factors can be found like this.

422:2x 211

146:2x 73

839:839

934:2x 467

470:2x 5x 47

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

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 22691959602640/(1x8)

LCM = 22691959602640/8

LCM = 2836494950330

Thus, we can understand that the LCM of 422,146,839,934,470 is 2836494950330.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 422, 146, 839, 934, 470

1. What is the LCM of 422, 146, 839, 934, 470?

Answer: LCM of 422, 146, 839, 934, 470 is 2836494950330.

2. How to calculate the LCM of 422, 146, 839, 934, 470?

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 422, 146, 839, 934, 470.

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}.