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LCM of 737, 806, 741, 923

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


Find the LCM of 737, 806, 741, 923 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, 806, 741, 923. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 737,806,741,923

Given numbers are 737,806,741,923

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

The LCM of 737,806,741,923 is 2404007034.

Find LCM of 737,806,741,923 with Prime Factorization


13 737, 806, 741, 923
737, 62, 57, 71

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

13 x 737 x 62 x 57 x 71 = 2404007034

Therefore, the lowest common multiple of 737,806,741,923 is 2404007034.

LCM Formula to Find Lowest Common Multiple of 737,806,741,923

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 806 x 741 x 923 = 406277188746

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

806 : 1, 2, 13, 26, 31, 62, 403, 806

741 : 1, 3, 13, 19, 39, 57, 247, 741

923 : 1, 13, 71, 923

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,806,741,923, is 1.

Now, the common factors can be found like this.

737:11x 67

806:2x 13x 31

741:3x 13x 19

923:13x 71

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 406277188746/(1x169)

LCM = 406277188746/169

LCM = 2404007034

Thus, we can understand that the LCM of 737,806,741,923 is 2404007034.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 737, 806, 741, 923

1. What is the LCM of 737, 806, 741, 923?

Answer: LCM of 737, 806, 741, 923 is 2404007034.

2. How to calculate the LCM of 737, 806, 741, 923?

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, 806, 741, 923.

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}.