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LCM of 937, 950, 153, 395, 339

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


Find the LCM of 937, 950, 153, 395, 339 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 937, 950, 153, 395, 339. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 937,950,153,395,339

Given numbers are 937,950,153,395,339

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

The LCM of 937,950,153,395,339 is 1215794464650.

Find LCM of 937,950,153,395,339 with Prime Factorization


3 937, 950, 153, 395, 339
5 937, 950, 51, 395, 113
937, 190, 51, 79, 113

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

3 x 5 x 937 x 190 x 51 x 79 x 113 = 1215794464650

Therefore, the lowest common multiple of 937,950,153,395,339 is 1215794464650.

LCM Formula to Find Lowest Common Multiple of 937,950,153,395,339

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.

937 x 950 x 153 x 395 x 339 = 18236916969750

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.

937 : 1, 937

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

153 : 1, 3, 9, 17, 51, 153

395 : 1, 5, 79, 395

339 : 1, 3, 113, 339

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 937,950,153,395,339, is 1.

Now, the common factors can be found like this.

937:937

950:2x 5x 5x 19

153:3x 3x 17

395:5x 79

339:3x 113

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 18236916969750/(1x15)

LCM = 18236916969750/15

LCM = 1215794464650

Thus, we can understand that the LCM of 937,950,153,395,339 is 1215794464650.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 937, 950, 153, 395, 339

1. What is the LCM of 937, 950, 153, 395, 339?

Answer: LCM of 937, 950, 153, 395, 339 is 1215794464650.

2. How to calculate the LCM of 937, 950, 153, 395, 339?

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 937, 950, 153, 395, 339.

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}.