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LCM of 986, 170, 786, 272, 994

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


Find the LCM of 986, 170, 786, 272, 994 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 986, 170, 786, 272, 994. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 986,170,786,272,994

Given numbers are 986,170,786,272,994

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

The LCM of 986,170,786,272,994 is 7703460240.

Find LCM of 986,170,786,272,994 with Prime Factorization


2 986, 170, 786, 272, 994
17 493, 85, 393, 136, 497
29, 5, 393, 8, 497

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

2 x 17 x 29 x 5 x 393 x 8 x 497 = 7703460240

Therefore, the lowest common multiple of 986,170,786,272,994 is 7703460240.

LCM Formula to Find Lowest Common Multiple of 986,170,786,272,994

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.

986 x 170 x 786 x 272 x 994 = 35620800149760

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.

986 : 1, 2, 17, 29, 34, 58, 493, 986

170 : 1, 2, 5, 10, 17, 34, 85, 170

786 : 1, 2, 3, 6, 131, 262, 393, 786

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,170,786,272,994, is 2.

Now, the common factors can be found like this.

986:2x 17x 29

170:2x 5x 17

786:2x 3x 131

272:2x 2x 2x 2x 17

994:2x 7x 71

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 17x 17 = 2312

Therefore, the value for common factors is 2312.

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 = 35620800149760/(2x2312)

LCM = 35620800149760/4624

LCM = 7703460240

Thus, we can understand that the LCM of 986,170,786,272,994 is 7703460240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 986, 170, 786, 272, 994

1. What is the LCM of 986, 170, 786, 272, 994?

Answer: LCM of 986, 170, 786, 272, 994 is 7703460240.

2. How to calculate the LCM of 986, 170, 786, 272, 994?

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 986, 170, 786, 272, 994.

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}.