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LCM of 679, 446, 577, 989, 660

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


Find the LCM of 679, 446, 577, 989, 660 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 679, 446, 577, 989, 660. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 679,446,577,989,660

Given numbers are 679,446,577,989,660

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

The LCM of 679,446,577,989,660 is 57028333098660.

Find LCM of 679,446,577,989,660 with Prime Factorization


2 679, 446, 577, 989, 660
679, 223, 577, 989, 330

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

2 x 679 x 223 x 577 x 989 x 330 = 57028333098660

Therefore, the lowest common multiple of 679,446,577,989,660 is 57028333098660.

LCM Formula to Find Lowest Common Multiple of 679,446,577,989,660

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.

679 x 446 x 577 x 989 x 660 = 114056666197320

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.

679 : 1, 7, 97, 679

446 : 1, 2, 223, 446

577 : 1, 577

989 : 1, 23, 43, 989

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 679,446,577,989,660, is 1.

Now, the common factors can be found like this.

679:7x 97

446:2x 223

577:577

989:23x 43

660:2x 2x 3x 5x 11

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 = 114056666197320/(1x2)

LCM = 114056666197320/2

LCM = 57028333098660

Thus, we can understand that the LCM of 679,446,577,989,660 is 57028333098660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 679, 446, 577, 989, 660

1. What is the LCM of 679, 446, 577, 989, 660?

Answer: LCM of 679, 446, 577, 989, 660 is 57028333098660.

2. How to calculate the LCM of 679, 446, 577, 989, 660?

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 679, 446, 577, 989, 660.

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}.