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LCM of 734, 662, 928, 513

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


Find the LCM of 734, 662, 928, 513 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 734, 662, 928, 513. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 734,662,928,513

Given numbers are 734,662,928,513

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

The LCM of 734,662,928,513 is 57830826528.

Find LCM of 734,662,928,513 with Prime Factorization


2 734, 662, 928, 513
367, 331, 464, 513

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

2 x 367 x 331 x 464 x 513 = 57830826528

Therefore, the lowest common multiple of 734,662,928,513 is 57830826528.

LCM Formula to Find Lowest Common Multiple of 734,662,928,513

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.

734 x 662 x 928 x 513 = 231323306112

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.

734 : 1, 2, 367, 734

662 : 1, 2, 331, 662

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

513 : 1, 3, 9, 19, 27, 57, 171, 513

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,662,928,513, is 1.

Now, the common factors can be found like this.

734:2x 367

662:2x 331

928:2x 2x 2x 2x 2x 29

513:3x 3x 3x 19

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 231323306112/(1x4)

LCM = 231323306112/4

LCM = 57830826528

Thus, we can understand that the LCM of 734,662,928,513 is 57830826528.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 734, 662, 928, 513

1. What is the LCM of 734, 662, 928, 513?

Answer: LCM of 734, 662, 928, 513 is 57830826528.

2. How to calculate the LCM of 734, 662, 928, 513?

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 734, 662, 928, 513.

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}.