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LCM of 737, 320, 303, 921

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


Find the LCM of 737, 320, 303, 921 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, 320, 303, 921. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 737,320,303,921

Given numbers are 737,320,303,921

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

The LCM of 737,320,303,921 is 21938072640.

Find LCM of 737,320,303,921 with Prime Factorization


3 737, 320, 303, 921
737, 320, 101, 307

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

3 x 737 x 320 x 101 x 307 = 21938072640

Therefore, the lowest common multiple of 737,320,303,921 is 21938072640.

LCM Formula to Find Lowest Common Multiple of 737,320,303,921

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 320 x 303 x 921 = 65814217920

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

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

303 : 1, 3, 101, 303

921 : 1, 3, 307, 921

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,320,303,921, is 1.

Now, the common factors can be found like this.

737:11x 67

320:2x 2x 2x 2x 2x 2x 5

303:3x 101

921:3x 307

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

3 = 3

Therefore, the value for common factors is 3.

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 = 65814217920/(1x3)

LCM = 65814217920/3

LCM = 21938072640

Thus, we can understand that the LCM of 737,320,303,921 is 21938072640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 737, 320, 303, 921

1. What is the LCM of 737, 320, 303, 921?

Answer: LCM of 737, 320, 303, 921 is 21938072640.

2. How to calculate the LCM of 737, 320, 303, 921?

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, 320, 303, 921.

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}.