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LCM of 993, 815, 671, 659, 760

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


Find the LCM of 993, 815, 671, 659, 760 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, 815, 671, 659, 760. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 993,815,671,659,760

Given numbers are 993,815,671,659,760

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

The LCM of 993,815,671,659,760 is 54394924706760.

Find LCM of 993,815,671,659,760 with Prime Factorization


5 993, 815, 671, 659, 760
993, 163, 671, 659, 152

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

5 x 993 x 163 x 671 x 659 x 152 = 54394924706760

Therefore, the lowest common multiple of 993,815,671,659,760 is 54394924706760.

LCM Formula to Find Lowest Common Multiple of 993,815,671,659,760

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 815 x 671 x 659 x 760 = 271974623533800

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

815 : 1, 5, 163, 815

671 : 1, 11, 61, 671

659 : 1, 659

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,815,671,659,760, is 1.

Now, the common factors can be found like this.

993:3x 331

815:5x 163

671:11x 61

659:659

760:2x 2x 2x 5x 19

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

5 = 5

Therefore, the value for common factors is 5.

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 = 271974623533800/(1x5)

LCM = 271974623533800/5

LCM = 54394924706760

Thus, we can understand that the LCM of 993,815,671,659,760 is 54394924706760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 993, 815, 671, 659, 760

1. What is the LCM of 993, 815, 671, 659, 760?

Answer: LCM of 993, 815, 671, 659, 760 is 54394924706760.

2. How to calculate the LCM of 993, 815, 671, 659, 760?

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, 815, 671, 659, 760.

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}.