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LCM of 382, 857, 914, 681

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


Find the LCM of 382, 857, 914, 681 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 382, 857, 914, 681. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 382,857,914,681

Given numbers are 382,857,914,681

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

The LCM of 382,857,914,681 is 101884354158.

Find LCM of 382,857,914,681 with Prime Factorization


2 382, 857, 914, 681
191, 857, 457, 681

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

2 x 191 x 857 x 457 x 681 = 101884354158

Therefore, the lowest common multiple of 382,857,914,681 is 101884354158.

LCM Formula to Find Lowest Common Multiple of 382,857,914,681

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.

382 x 857 x 914 x 681 = 203768708316

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.

382 : 1, 2, 191, 382

857 : 1, 857

914 : 1, 2, 457, 914

681 : 1, 3, 227, 681

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,857,914,681, is 1.

Now, the common factors can be found like this.

382:2x 191

857:857

914:2x 457

681:3x 227

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

2 = 2

Therefore, the value for common factors is 2.

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 = 203768708316/(1x2)

LCM = 203768708316/2

LCM = 101884354158

Thus, we can understand that the LCM of 382,857,914,681 is 101884354158.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 382, 857, 914, 681

1. What is the LCM of 382, 857, 914, 681?

Answer: LCM of 382, 857, 914, 681 is 101884354158.

2. How to calculate the LCM of 382, 857, 914, 681?

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 382, 857, 914, 681.

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}.