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LCM of 397, 966, 533, 682, 908

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


Find the LCM of 397, 966, 533, 682, 908 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 397, 966, 533, 682, 908. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 397,966,533,682,908

Given numbers are 397,966,533,682,908

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

The LCM of 397,966,533,682,908 is 31644998108724.

Find LCM of 397,966,533,682,908 with Prime Factorization


2 397, 966, 533, 682, 908
397, 483, 533, 341, 454

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

2 x 397 x 483 x 533 x 341 x 454 = 31644998108724

Therefore, the lowest common multiple of 397,966,533,682,908 is 31644998108724.

LCM Formula to Find Lowest Common Multiple of 397,966,533,682,908

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.

397 x 966 x 533 x 682 x 908 = 126579992434896

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.

397 : 1, 397

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

533 : 1, 13, 41, 533

682 : 1, 2, 11, 22, 31, 62, 341, 682

908 : 1, 2, 4, 227, 454, 908

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,966,533,682,908, is 1.

Now, the common factors can be found like this.

397:397

966:2x 3x 7x 23

533:13x 41

682:2x 11x 31

908:2x 2x 227

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 126579992434896/(1x4)

LCM = 126579992434896/4

LCM = 31644998108724

Thus, we can understand that the LCM of 397,966,533,682,908 is 31644998108724.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 397, 966, 533, 682, 908

1. What is the LCM of 397, 966, 533, 682, 908?

Answer: LCM of 397, 966, 533, 682, 908 is 31644998108724.

2. How to calculate the LCM of 397, 966, 533, 682, 908?

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 397, 966, 533, 682, 908.

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}.