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LCM of 381, 657, 388, 761, 849

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


Find the LCM of 381, 657, 388, 761, 849 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 381, 657, 388, 761, 849. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 381,657,388,761,849

Given numbers are 381,657,388,761,849

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

The LCM of 381,657,388,761,849 is 6972233262516.

Find LCM of 381,657,388,761,849 with Prime Factorization


3 381, 657, 388, 761, 849
127, 219, 388, 761, 283

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

3 x 127 x 219 x 388 x 761 x 283 = 6972233262516

Therefore, the lowest common multiple of 381,657,388,761,849 is 6972233262516.

LCM Formula to Find Lowest Common Multiple of 381,657,388,761,849

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.

381 x 657 x 388 x 761 x 849 = 62750099362644

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.

381 : 1, 3, 127, 381

657 : 1, 3, 9, 73, 219, 657

388 : 1, 2, 4, 97, 194, 388

761 : 1, 761

849 : 1, 3, 283, 849

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,657,388,761,849, is 1.

Now, the common factors can be found like this.

381:3x 127

657:3x 3x 73

388:2x 2x 97

761:761

849:3x 283

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 62750099362644/(1x9)

LCM = 62750099362644/9

LCM = 6972233262516

Thus, we can understand that the LCM of 381,657,388,761,849 is 6972233262516.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 381, 657, 388, 761, 849

1. What is the LCM of 381, 657, 388, 761, 849?

Answer: LCM of 381, 657, 388, 761, 849 is 6972233262516.

2. How to calculate the LCM of 381, 657, 388, 761, 849?

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 381, 657, 388, 761, 849.

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}.