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LCM of 381, 538, 824, 177

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


Find the LCM of 381, 538, 824, 177 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, 538, 824, 177. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 381,538,824,177

Given numbers are 381,538,824,177

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

The LCM of 381,538,824,177 is 4982605224.

Find LCM of 381,538,824,177 with Prime Factorization


2 381, 538, 824, 177
3 381, 269, 412, 177
127, 269, 412, 59

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

2 x 3 x 127 x 269 x 412 x 59 = 4982605224

Therefore, the lowest common multiple of 381,538,824,177 is 4982605224.

LCM Formula to Find Lowest Common Multiple of 381,538,824,177

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 538 x 824 x 177 = 29895631344

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

538 : 1, 2, 269, 538

824 : 1, 2, 4, 8, 103, 206, 412, 824

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,538,824,177, is 1.

Now, the common factors can be found like this.

381:3x 127

538:2x 269

824:2x 2x 2x 103

177:3x 59

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 29895631344/(1x6)

LCM = 29895631344/6

LCM = 4982605224

Thus, we can understand that the LCM of 381,538,824,177 is 4982605224.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 381, 538, 824, 177

1. What is the LCM of 381, 538, 824, 177?

Answer: LCM of 381, 538, 824, 177 is 4982605224.

2. How to calculate the LCM of 381, 538, 824, 177?

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, 538, 824, 177.

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}.