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LCM of 843, 682, 104, 143, 714

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


Find the LCM of 843, 682, 104, 143, 714 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 843, 682, 104, 143, 714. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 843,682,104,143,714

Given numbers are 843,682,104,143,714

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

The LCM of 843,682,104,143,714 is 3557642088.

Find LCM of 843,682,104,143,714 with Prime Factorization


2 843, 682, 104, 143, 714
3 843, 341, 52, 143, 357
11 281, 341, 52, 143, 119
13 281, 31, 52, 13, 119
281, 31, 4, 1, 119

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

2 x 3 x 11 x 13 x 281 x 31 x 4 x 1 x 119 = 3557642088

Therefore, the lowest common multiple of 843,682,104,143,714 is 3557642088.

LCM Formula to Find Lowest Common Multiple of 843,682,104,143,714

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.

843 x 682 x 104 x 143 x 714 = 6104913823008

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.

843 : 1, 3, 281, 843

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

143 : 1, 11, 13, 143

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,682,104,143,714, is 1.

Now, the common factors can be found like this.

843:3x 281

682:2x 11x 31

104:2x 2x 2x 13

143:11x 13

714:2x 3x 7x 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 11x 13 = 1716

Therefore, the value for common factors is 1716.

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 = 6104913823008/(1x1716)

LCM = 6104913823008/1716

LCM = 3557642088

Thus, we can understand that the LCM of 843,682,104,143,714 is 3557642088.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 843, 682, 104, 143, 714

1. What is the LCM of 843, 682, 104, 143, 714?

Answer: LCM of 843, 682, 104, 143, 714 is 3557642088.

2. How to calculate the LCM of 843, 682, 104, 143, 714?

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 843, 682, 104, 143, 714.

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}.