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LCM of 806, 749, 372, 730

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


Find the LCM of 806, 749, 372, 730 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 806, 749, 372, 730. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 806,749,372,730

Given numbers are 806,749,372,730

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

The LCM of 806,749,372,730 is 1322089860.

Find LCM of 806,749,372,730 with Prime Factorization


2 806, 749, 372, 730
31 403, 749, 186, 365
13, 749, 6, 365

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

2 x 31 x 13 x 749 x 6 x 365 = 1322089860

Therefore, the lowest common multiple of 806,749,372,730 is 1322089860.

LCM Formula to Find Lowest Common Multiple of 806,749,372,730

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.

806 x 749 x 372 x 730 = 163939142640

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.

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

749 : 1, 7, 107, 749

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

730 : 1, 2, 5, 10, 73, 146, 365, 730

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,749,372,730, is 1.

Now, the common factors can be found like this.

806:2x 13x 31

749:7x 107

372:2x 2x 3x 31

730:2x 5x 73

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 31 = 124

Therefore, the value for common factors is 124.

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 = 163939142640/(1x124)

LCM = 163939142640/124

LCM = 1322089860

Thus, we can understand that the LCM of 806,749,372,730 is 1322089860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 806, 749, 372, 730

1. What is the LCM of 806, 749, 372, 730?

Answer: LCM of 806, 749, 372, 730 is 1322089860.

2. How to calculate the LCM of 806, 749, 372, 730?

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 806, 749, 372, 730.

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}.