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LCM of 733, 442, 739, 923, 775

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


Find the LCM of 733, 442, 739, 923, 775 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 733, 442, 739, 923, 775. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 733,442,739,923,775

Given numbers are 733,442,739,923,775

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

The LCM of 733,442,739,923,775 is 13174396611350.

Find LCM of 733,442,739,923,775 with Prime Factorization


13 733, 442, 739, 923, 775
733, 34, 739, 71, 775

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

13 x 733 x 34 x 739 x 71 x 775 = 13174396611350

Therefore, the lowest common multiple of 733,442,739,923,775 is 13174396611350.

LCM Formula to Find Lowest Common Multiple of 733,442,739,923,775

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.

733 x 442 x 739 x 923 x 775 = 171267155947550

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.

733 : 1, 733

442 : 1, 2, 13, 17, 26, 34, 221, 442

739 : 1, 739

923 : 1, 13, 71, 923

775 : 1, 5, 25, 31, 155, 775

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 733,442,739,923,775, is 1.

Now, the common factors can be found like this.

733:733

442:2x 13x 17

739:739

923:13x 71

775:5x 5x 31

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

13 = 13

Therefore, the value for common factors is 13.

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 = 171267155947550/(1x13)

LCM = 171267155947550/13

LCM = 13174396611350

Thus, we can understand that the LCM of 733,442,739,923,775 is 13174396611350.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 733, 442, 739, 923, 775

1. What is the LCM of 733, 442, 739, 923, 775?

Answer: LCM of 733, 442, 739, 923, 775 is 13174396611350.

2. How to calculate the LCM of 733, 442, 739, 923, 775?

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 733, 442, 739, 923, 775.

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}.