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LCM of 937, 372, 517, 605, 940

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


Find the LCM of 937, 372, 517, 605, 940 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, 372, 517, 605, 940. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 937,372,517,605,940

Given numbers are 937,372,517,605,940

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

The LCM of 937,372,517,605,940 is 9911417340.

Find LCM of 937,372,517,605,940 with Prime Factorization


2 937, 372, 517, 605, 940
2 937, 186, 517, 605, 470
5 937, 93, 517, 605, 235
11 937, 93, 517, 121, 47
47 937, 93, 47, 11, 47
937, 93, 1, 11, 1

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

2 x 2 x 5 x 11 x 47 x 937 x 93 x 1 x 11 x 1 = 9911417340

Therefore, the lowest common multiple of 937,372,517,605,940 is 9911417340.

LCM Formula to Find Lowest Common Multiple of 937,372,517,605,940

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 372 x 517 x 605 x 940 = 102484055295600

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

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

517 : 1, 11, 47, 517

605 : 1, 5, 11, 55, 121, 605

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 937,372,517,605,940, is 1.

Now, the common factors can be found like this.

937:937

372:2x 2x 3x 31

517:11x 47

605:5x 11x 11

940:2x 2x 5x 47

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 11x 47 = 10340

Therefore, the value for common factors is 10340.

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 = 102484055295600/(1x10340)

LCM = 102484055295600/10340

LCM = 9911417340

Thus, we can understand that the LCM of 937,372,517,605,940 is 9911417340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 937, 372, 517, 605, 940

1. What is the LCM of 937, 372, 517, 605, 940?

Answer: LCM of 937, 372, 517, 605, 940 is 9911417340.

2. How to calculate the LCM of 937, 372, 517, 605, 940?

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, 372, 517, 605, 940.

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}.