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LCM of 682, 579, 973, 576, 374

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


Find the LCM of 682, 579, 973, 576, 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 682, 579, 973, 576, 374. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 682,579,973,576,374

Given numbers are 682,579,973,576,374

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

The LCM of 682,579,973,576,374 is 627040991808.

Find LCM of 682,579,973,576,374 with Prime Factorization


2 682, 579, 973, 576, 374
3 341, 579, 973, 288, 187
11 341, 193, 973, 96, 187
31, 193, 973, 96, 17

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

2 x 3 x 11 x 31 x 193 x 973 x 96 x 17 = 627040991808

Therefore, the lowest common multiple of 682,579,973,576,374 is 627040991808.

LCM Formula to Find Lowest Common Multiple of 682,579,973,576,374

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.

682 x 579 x 973 x 576 x 374 = 82769410918656

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.

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

579 : 1, 3, 193, 579

973 : 1, 7, 139, 973

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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 682,579,973,576,374, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

579:3x 193

973:7x 139

576:2x 2x 2x 2x 2x 2x 3x 3

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 2x 3x 11 = 132

Therefore, the value for common factors is 132.

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 = 82769410918656/(1x132)

LCM = 82769410918656/132

LCM = 627040991808

Thus, we can understand that the LCM of 682,579,973,576,374 is 627040991808.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 682, 579, 973, 576, 374

1. What is the LCM of 682, 579, 973, 576, 374?

Answer: LCM of 682, 579, 973, 576, 374 is 627040991808.

2. How to calculate the LCM of 682, 579, 973, 576, 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 682, 579, 973, 576, 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}.