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LCM of 170, 941, 941, 424, 962

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


Find the LCM of 170, 941, 941, 424, 962 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 170, 941, 941, 424, 962. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 170,941,941,424,962

Given numbers are 170,941,941,424,962

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

The LCM of 170,941,941,424,962 is 16312460840.

Find LCM of 170,941,941,424,962 with Prime Factorization


2 170, 941, 941, 424, 962
941 85, 941, 941, 212, 481
85, 1, 1, 212, 481

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

2 x 941 x 85 x 1 x 1 x 212 x 481 = 16312460840

Therefore, the lowest common multiple of 170,941,941,424,962 is 16312460840.

LCM Formula to Find Lowest Common Multiple of 170,941,941,424,962

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.

170 x 941 x 941 x 424 x 962 = 61400102601760

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.

170 : 1, 2, 5, 10, 17, 34, 85, 170

941 : 1, 941

941 : 1, 941

424 : 1, 2, 4, 8, 53, 106, 212, 424

962 : 1, 2, 13, 26, 37, 74, 481, 962

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 170,941,941,424,962, is 1.

Now, the common factors can be found like this.

170:2x 5x 17

941:941

941:941

424:2x 2x 2x 53

962:2x 13x 37

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 941 = 3764

Therefore, the value for common factors is 3764.

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 = 61400102601760/(1x3764)

LCM = 61400102601760/3764

LCM = 16312460840

Thus, we can understand that the LCM of 170,941,941,424,962 is 16312460840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 170, 941, 941, 424, 962

1. What is the LCM of 170, 941, 941, 424, 962?

Answer: LCM of 170, 941, 941, 424, 962 is 16312460840.

2. How to calculate the LCM of 170, 941, 941, 424, 962?

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 170, 941, 941, 424, 962.

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}.