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LCM of 993, 814, 385, 679

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


Find the LCM of 993, 814, 385, 679 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 993, 814, 385, 679. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 993,814,385,679

Given numbers are 993,814,385,679

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

The LCM of 993,814,385,679 is 2744185290.

Find LCM of 993,814,385,679 with Prime Factorization


7 993, 814, 385, 679
11 993, 814, 55, 97
993, 74, 5, 97

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

7 x 11 x 993 x 74 x 5 x 97 = 2744185290

Therefore, the lowest common multiple of 993,814,385,679 is 2744185290.

LCM Formula to Find Lowest Common Multiple of 993,814,385,679

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.

993 x 814 x 385 x 679 = 211302267330

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.

993 : 1, 3, 331, 993

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

385 : 1, 5, 7, 11, 35, 55, 77, 385

679 : 1, 7, 97, 679

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,814,385,679, is 1.

Now, the common factors can be found like this.

993:3x 331

814:2x 11x 37

385:5x 7x 11

679:7x 97

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

7x 11 = 77

Therefore, the value for common factors is 77.

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 = 211302267330/(1x77)

LCM = 211302267330/77

LCM = 2744185290

Thus, we can understand that the LCM of 993,814,385,679 is 2744185290.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 993, 814, 385, 679

1. What is the LCM of 993, 814, 385, 679?

Answer: LCM of 993, 814, 385, 679 is 2744185290.

2. How to calculate the LCM of 993, 814, 385, 679?

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 993, 814, 385, 679.

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}.