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LCM of 680, 994, 442, 612, 889

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


Find the LCM of 680, 994, 442, 612, 889 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 680, 994, 442, 612, 889. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 680,994,442,612,889

Given numbers are 680,994,442,612,889

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

The LCM of 680,994,442,612,889 is 5021747640.

Find LCM of 680,994,442,612,889 with Prime Factorization


2 680, 994, 442, 612, 889
2 340, 497, 221, 306, 889
7 170, 497, 221, 153, 889
17 170, 71, 221, 153, 127
10, 71, 13, 9, 127

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

2 x 2 x 7 x 17 x 10 x 71 x 13 x 9 x 127 = 5021747640

Therefore, the lowest common multiple of 680,994,442,612,889 is 5021747640.

LCM Formula to Find Lowest Common Multiple of 680,994,442,612,889

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.

680 x 994 x 442 x 612 x 889 = 162543927611520

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.

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

994 : 1, 2, 7, 14, 71, 142, 497, 994

442 : 1, 2, 13, 17, 26, 34, 221, 442

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

889 : 1, 7, 127, 889

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,994,442,612,889, is 1.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

994:2x 7x 71

442:2x 13x 17

612:2x 2x 3x 3x 17

889:7x 127

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

2x 2x 2x 2x 7x 17x 17 = 32368

Therefore, the value for common factors is 32368.

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 = 162543927611520/(1x32368)

LCM = 162543927611520/32368

LCM = 5021747640

Thus, we can understand that the LCM of 680,994,442,612,889 is 5021747640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 680, 994, 442, 612, 889

1. What is the LCM of 680, 994, 442, 612, 889?

Answer: LCM of 680, 994, 442, 612, 889 is 5021747640.

2. How to calculate the LCM of 680, 994, 442, 612, 889?

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 680, 994, 442, 612, 889.

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}.