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LCM of 340, 971, 629, 659, 297

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


Find the LCM of 340, 971, 629, 659, 297 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 340, 971, 629, 659, 297. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 340,971,629,659,297

Given numbers are 340,971,629,659,297

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

The LCM of 340,971,629,659,297 is 2390791675140.

Find LCM of 340,971,629,659,297 with Prime Factorization


17 340, 971, 629, 659, 297
20, 971, 37, 659, 297

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

17 x 20 x 971 x 37 x 659 x 297 = 2390791675140

Therefore, the lowest common multiple of 340,971,629,659,297 is 2390791675140.

LCM Formula to Find Lowest Common Multiple of 340,971,629,659,297

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.

340 x 971 x 629 x 659 x 297 = 40643458477380

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.

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

971 : 1, 971

629 : 1, 17, 37, 629

659 : 1, 659

297 : 1, 3, 9, 11, 27, 33, 99, 297

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,971,629,659,297, is 1.

Now, the common factors can be found like this.

340:2x 2x 5x 17

971:971

629:17x 37

659:659

297:3x 3x 3x 11

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

17 = 17

Therefore, the value for common factors is 17.

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 = 40643458477380/(1x17)

LCM = 40643458477380/17

LCM = 2390791675140

Thus, we can understand that the LCM of 340,971,629,659,297 is 2390791675140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 340, 971, 629, 659, 297

1. What is the LCM of 340, 971, 629, 659, 297?

Answer: LCM of 340, 971, 629, 659, 297 is 2390791675140.

2. How to calculate the LCM of 340, 971, 629, 659, 297?

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 340, 971, 629, 659, 297.

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}.