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LCM of 737, 488, 933, 610

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


Find the LCM of 737, 488, 933, 610 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 737, 488, 933, 610. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 737,488,933,610

Given numbers are 737,488,933,610

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

The LCM of 737,488,933,610 is 1677795240.

Find LCM of 737,488,933,610 with Prime Factorization


2 737, 488, 933, 610
61 737, 244, 933, 305
737, 4, 933, 5

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

2 x 61 x 737 x 4 x 933 x 5 = 1677795240

Therefore, the lowest common multiple of 737,488,933,610 is 1677795240.

LCM Formula to Find Lowest Common Multiple of 737,488,933,610

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.

737 x 488 x 933 x 610 = 204691019280

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.

737 : 1, 11, 67, 737

488 : 1, 2, 4, 8, 61, 122, 244, 488

933 : 1, 3, 311, 933

610 : 1, 2, 5, 10, 61, 122, 305, 610

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,488,933,610, is 1.

Now, the common factors can be found like this.

737:11x 67

488:2x 2x 2x 61

933:3x 311

610:2x 5x 61

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

2x 61 = 122

Therefore, the value for common factors is 122.

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 = 204691019280/(1x122)

LCM = 204691019280/122

LCM = 1677795240

Thus, we can understand that the LCM of 737,488,933,610 is 1677795240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 737, 488, 933, 610

1. What is the LCM of 737, 488, 933, 610?

Answer: LCM of 737, 488, 933, 610 is 1677795240.

2. How to calculate the LCM of 737, 488, 933, 610?

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 737, 488, 933, 610.

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}.