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LCM of 736, 414, 753, 720, 914

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


Find the LCM of 736, 414, 753, 720, 914 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 736, 414, 753, 720, 914. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 736,414,753,720,914

Given numbers are 736,414,753,720,914

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

The LCM of 736,414,753,720,914 is 3799095840.

Find LCM of 736,414,753,720,914 with Prime Factorization


2 736, 414, 753, 720, 914
2 368, 207, 753, 360, 457
2 184, 207, 753, 180, 457
2 92, 207, 753, 90, 457
3 46, 207, 753, 45, 457
3 46, 69, 251, 15, 457
23 46, 23, 251, 5, 457
2, 1, 251, 5, 457

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

2 x 2 x 2 x 2 x 3 x 3 x 23 x 2 x 1 x 251 x 5 x 457 = 3799095840

Therefore, the lowest common multiple of 736,414,753,720,914 is 3799095840.

LCM Formula to Find Lowest Common Multiple of 736,414,753,720,914

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.

736 x 414 x 753 x 720 x 914 = 150991265064960

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.

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

753 : 1, 3, 251, 753

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

914 : 1, 2, 457, 914

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,414,753,720,914, is 1.

Now, the common factors can be found like this.

736:2x 2x 2x 2x 2x 23

414:2x 3x 3x 23

753:3x 251

720:2x 2x 2x 2x 3x 3x 5

914:2x 457

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 2x 2x 2x 2x 3x 3x 3x 23 = 39744

Therefore, the value for common factors is 39744.

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 = 150991265064960/(1x39744)

LCM = 150991265064960/39744

LCM = 3799095840

Thus, we can understand that the LCM of 736,414,753,720,914 is 3799095840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 736, 414, 753, 720, 914

1. What is the LCM of 736, 414, 753, 720, 914?

Answer: LCM of 736, 414, 753, 720, 914 is 3799095840.

2. How to calculate the LCM of 736, 414, 753, 720, 914?

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 736, 414, 753, 720, 914.

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}.