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LCM of 341, 873, 913, 110

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


Find the LCM of 341, 873, 913, 110 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 341, 873, 913, 110. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 341,873,913,110

Given numbers are 341,873,913,110

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

The LCM of 341,873,913,110 is 247085190.

Find LCM of 341,873,913,110 with Prime Factorization


11 341, 873, 913, 110
31, 873, 83, 10

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

11 x 31 x 873 x 83 x 10 = 247085190

Therefore, the lowest common multiple of 341,873,913,110 is 247085190.

LCM Formula to Find Lowest Common Multiple of 341,873,913,110

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.

341 x 873 x 913 x 110 = 29897307990

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.

341 : 1, 11, 31, 341

873 : 1, 3, 9, 97, 291, 873

913 : 1, 11, 83, 913

110 : 1, 2, 5, 10, 11, 22, 55, 110

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,873,913,110, is 1.

Now, the common factors can be found like this.

341:11x 31

873:3x 3x 97

913:11x 83

110:2x 5x 11

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 = 29897307990/(1x121)

LCM = 29897307990/121

LCM = 247085190

Thus, we can understand that the LCM of 341,873,913,110 is 247085190.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 341, 873, 913, 110

1. What is the LCM of 341, 873, 913, 110?

Answer: LCM of 341, 873, 913, 110 is 247085190.

2. How to calculate the LCM of 341, 873, 913, 110?

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 341, 873, 913, 110.

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}.