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LCM of 950, 170, 819, 946, 253

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


Find the LCM of 950, 170, 819, 946, 253 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 950, 170, 819, 946, 253. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 950,170,819,946,253

Given numbers are 950,170,819,946,253

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

The LCM of 950,170,819,946,253 is 143894901150.

Find LCM of 950,170,819,946,253 with Prime Factorization


2 950, 170, 819, 946, 253
5 475, 85, 819, 473, 253
11 95, 17, 819, 473, 253
95, 17, 819, 43, 23

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

2 x 5 x 11 x 95 x 17 x 819 x 43 x 23 = 143894901150

Therefore, the lowest common multiple of 950,170,819,946,253 is 143894901150.

LCM Formula to Find Lowest Common Multiple of 950,170,819,946,253

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.

950 x 170 x 819 x 946 x 253 = 31656878253000

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.

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

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

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

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

253 : 1, 11, 23, 253

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 950,170,819,946,253, is 1.

Now, the common factors can be found like this.

950:2x 5x 5x 19

170:2x 5x 17

819:3x 3x 7x 13

946:2x 11x 43

253:11x 23

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 5x 11 = 220

Therefore, the value for common factors is 220.

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 = 31656878253000/(1x220)

LCM = 31656878253000/220

LCM = 143894901150

Thus, we can understand that the LCM of 950,170,819,946,253 is 143894901150.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 950, 170, 819, 946, 253

1. What is the LCM of 950, 170, 819, 946, 253?

Answer: LCM of 950, 170, 819, 946, 253 is 143894901150.

2. How to calculate the LCM of 950, 170, 819, 946, 253?

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 950, 170, 819, 946, 253.

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}.