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LCM of 841, 446, 884, 162

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


Find the LCM of 841, 446, 884, 162 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 841, 446, 884, 162. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 841,446,884,162

Given numbers are 841,446,884,162

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

The LCM of 841,446,884,162 is 13428828972.

Find LCM of 841,446,884,162 with Prime Factorization


2 841, 446, 884, 162
841, 223, 442, 81

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

2 x 841 x 223 x 442 x 81 = 13428828972

Therefore, the lowest common multiple of 841,446,884,162 is 13428828972.

LCM Formula to Find Lowest Common Multiple of 841,446,884,162

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.

841 x 446 x 884 x 162 = 53715315888

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.

841 : 1, 29, 841

446 : 1, 2, 223, 446

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 841,446,884,162, is 1.

Now, the common factors can be found like this.

841:29x 29

446:2x 223

884:2x 2x 13x 17

162:2x 3x 3x 3x 3

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 53715315888/(1x4)

LCM = 53715315888/4

LCM = 13428828972

Thus, we can understand that the LCM of 841,446,884,162 is 13428828972.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 841, 446, 884, 162

1. What is the LCM of 841, 446, 884, 162?

Answer: LCM of 841, 446, 884, 162 is 13428828972.

2. How to calculate the LCM of 841, 446, 884, 162?

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 841, 446, 884, 162.

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}.