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LCM of 950, 637, 338, 322, 912

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


Find the LCM of 950, 637, 338, 322, 912 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, 637, 338, 322, 912. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 950,637,338,322,912

Given numbers are 950,637,338,322,912

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

The LCM of 950,637,338,322,912 is 4342556400.

Find LCM of 950,637,338,322,912 with Prime Factorization


2 950, 637, 338, 322, 912
7 475, 637, 169, 161, 456
13 475, 91, 169, 23, 456
19 475, 7, 13, 23, 456
25, 7, 13, 23, 24

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

2 x 7 x 13 x 19 x 25 x 7 x 13 x 23 x 24 = 4342556400

Therefore, the lowest common multiple of 950,637,338,322,912 is 4342556400.

LCM Formula to Find Lowest Common Multiple of 950,637,338,322,912

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 637 x 338 x 322 x 912 = 60066240124800

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

637 : 1, 7, 13, 49, 91, 637

338 : 1, 2, 13, 26, 169, 338

322 : 1, 2, 7, 14, 23, 46, 161, 322

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 950,637,338,322,912, is 1.

Now, the common factors can be found like this.

950:2x 5x 5x 19

637:7x 7x 13

338:2x 13x 13

322:2x 7x 23

912:2x 2x 2x 2x 3x 19

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 2x 7x 13x 19 = 13832

Therefore, the value for common factors is 13832.

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 = 60066240124800/(1x13832)

LCM = 60066240124800/13832

LCM = 4342556400

Thus, we can understand that the LCM of 950,637,338,322,912 is 4342556400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 950, 637, 338, 322, 912

1. What is the LCM of 950, 637, 338, 322, 912?

Answer: LCM of 950, 637, 338, 322, 912 is 4342556400.

2. How to calculate the LCM of 950, 637, 338, 322, 912?

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, 637, 338, 322, 912.

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}.