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LCM of 730, 814, 991

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


Find the LCM of 730, 814, 991 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 730, 814, 991. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 730,814,991

Given numbers are 730,814,991

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

The LCM of 730,814,991 is 294436010.

Find LCM of 730,814,991 with Prime Factorization


2 730, 814, 991
365, 407, 991

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

2 x 365 x 407 x 991 = 294436010

Therefore, the lowest common multiple of 730,814,991 is 294436010.

LCM Formula to Find Lowest Common Multiple of 730,814,991

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.

730 x 814 x 991 = 588872020

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.

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

814 : 1, 2, 11, 22, 37, 74, 407, 814

991 : 1, 991

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,814,991, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

814:2x 11x 37

991:991

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

2 = 2

Therefore, the value for common factors is 2.

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 = 588872020/(1x2)

LCM = 588872020/2

LCM = 294436010

Thus, we can understand that the LCM of 730,814,991 is 294436010.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 730, 814, 991

1. What is the LCM of 730, 814, 991?

Answer: LCM of 730, 814, 991 is 294436010.

2. How to calculate the LCM of 730, 814, 991?

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 730, 814, 991.

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}.