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LCM of 381, 118, 566, 797

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


Find the LCM of 381, 118, 566, 797 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, 118, 566, 797. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 381,118,566,797

Given numbers are 381,118,566,797

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

The LCM of 381,118,566,797 is 10140321858.

Find LCM of 381,118,566,797 with Prime Factorization


2 381, 118, 566, 797
381, 59, 283, 797

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

2 x 381 x 59 x 283 x 797 = 10140321858

Therefore, the lowest common multiple of 381,118,566,797 is 10140321858.

LCM Formula to Find Lowest Common Multiple of 381,118,566,797

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 118 x 566 x 797 = 20280643716

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

118 : 1, 2, 59, 118

566 : 1, 2, 283, 566

797 : 1, 797

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,118,566,797, is 1.

Now, the common factors can be found like this.

381:3x 127

118:2x 59

566:2x 283

797:797

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 = 20280643716/(1x2)

LCM = 20280643716/2

LCM = 10140321858

Thus, we can understand that the LCM of 381,118,566,797 is 10140321858.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 381, 118, 566, 797

1. What is the LCM of 381, 118, 566, 797?

Answer: LCM of 381, 118, 566, 797 is 10140321858.

2. How to calculate the LCM of 381, 118, 566, 797?

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, 118, 566, 797.

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}.