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LCM of 986, 455, 629, 374

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


Find the LCM of 986, 455, 629, 374 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, 455, 629, 374. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 986,455,629,374

Given numbers are 986,455,629,374

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

The LCM of 986,455,629,374 is 182592410.

Find LCM of 986,455,629,374 with Prime Factorization


2 986, 455, 629, 374
17 493, 455, 629, 187
29, 455, 37, 11

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

2 x 17 x 29 x 455 x 37 x 11 = 182592410

Therefore, the lowest common multiple of 986,455,629,374 is 182592410.

LCM Formula to Find Lowest Common Multiple of 986,455,629,374

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 455 x 629 x 374 = 105538412980

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

455 : 1, 5, 7, 13, 35, 65, 91, 455

629 : 1, 17, 37, 629

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,455,629,374, is 1.

Now, the common factors can be found like this.

986:2x 17x 29

455:5x 7x 13

629:17x 37

374:2x 11x 17

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

2x 17x 17 = 578

Therefore, the value for common factors is 578.

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 = 105538412980/(1x578)

LCM = 105538412980/578

LCM = 182592410

Thus, we can understand that the LCM of 986,455,629,374 is 182592410.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 986, 455, 629, 374

1. What is the LCM of 986, 455, 629, 374?

Answer: LCM of 986, 455, 629, 374 is 182592410.

2. How to calculate the LCM of 986, 455, 629, 374?

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, 455, 629, 374.

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}.