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LCM of 723, 793, 970, 388

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


Find the LCM of 723, 793, 970, 388 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 723, 793, 970, 388. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 723,793,970,388

Given numbers are 723,793,970,388

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

The LCM of 723,793,970,388 is 1112277660.

Find LCM of 723,793,970,388 with Prime Factorization


2 723, 793, 970, 388
97 723, 793, 485, 194
723, 793, 5, 2

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

2 x 97 x 723 x 793 x 5 x 2 = 1112277660

Therefore, the lowest common multiple of 723,793,970,388 is 1112277660.

LCM Formula to Find Lowest Common Multiple of 723,793,970,388

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.

723 x 793 x 970 x 388 = 215781866040

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.

723 : 1, 3, 241, 723

793 : 1, 13, 61, 793

970 : 1, 2, 5, 10, 97, 194, 485, 970

388 : 1, 2, 4, 97, 194, 388

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,793,970,388, is 1.

Now, the common factors can be found like this.

723:3x 241

793:13x 61

970:2x 5x 97

388:2x 2x 97

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

2x 97 = 194

Therefore, the value for common factors is 194.

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 = 215781866040/(1x194)

LCM = 215781866040/194

LCM = 1112277660

Thus, we can understand that the LCM of 723,793,970,388 is 1112277660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 723, 793, 970, 388

1. What is the LCM of 723, 793, 970, 388?

Answer: LCM of 723, 793, 970, 388 is 1112277660.

2. How to calculate the LCM of 723, 793, 970, 388?

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 723, 793, 970, 388.

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}.