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LCM of 849, 681, 459, 769, 246

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


Find the LCM of 849, 681, 459, 769, 246 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 849, 681, 459, 769, 246. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 849,681,459,769,246

Given numbers are 849,681,459,769,246

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

The LCM of 849,681,459,769,246 is 1859367220902.

Find LCM of 849,681,459,769,246 with Prime Factorization


3 849, 681, 459, 769, 246
283, 227, 153, 769, 82

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

3 x 283 x 227 x 153 x 769 x 82 = 1859367220902

Therefore, the lowest common multiple of 849,681,459,769,246 is 1859367220902.

LCM Formula to Find Lowest Common Multiple of 849,681,459,769,246

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.

849 x 681 x 459 x 769 x 246 = 50202914964354

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.

849 : 1, 3, 283, 849

681 : 1, 3, 227, 681

459 : 1, 3, 9, 17, 27, 51, 153, 459

769 : 1, 769

246 : 1, 2, 3, 6, 41, 82, 123, 246

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,681,459,769,246, is 1.

Now, the common factors can be found like this.

849:3x 283

681:3x 227

459:3x 3x 3x 17

769:769

246:2x 3x 41

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 50202914964354/(1x27)

LCM = 50202914964354/27

LCM = 1859367220902

Thus, we can understand that the LCM of 849,681,459,769,246 is 1859367220902.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 849, 681, 459, 769, 246

1. What is the LCM of 849, 681, 459, 769, 246?

Answer: LCM of 849, 681, 459, 769, 246 is 1859367220902.

2. How to calculate the LCM of 849, 681, 459, 769, 246?

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 849, 681, 459, 769, 246.

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}.