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LCM of 381, 391, 139, 423, 430

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


Find the LCM of 381, 391, 139, 423, 430 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, 391, 139, 423, 430. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 381,391,139,423,430

Given numbers are 381,391,139,423,430

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

The LCM of 381,391,139,423,430 is 1255463530470.

Find LCM of 381,391,139,423,430 with Prime Factorization


3 381, 391, 139, 423, 430
127, 391, 139, 141, 430

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

3 x 127 x 391 x 139 x 141 x 430 = 1255463530470

Therefore, the lowest common multiple of 381,391,139,423,430 is 1255463530470.

LCM Formula to Find Lowest Common Multiple of 381,391,139,423,430

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 391 x 139 x 423 x 430 = 3766390591410

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

391 : 1, 17, 23, 391

139 : 1, 139

423 : 1, 3, 9, 47, 141, 423

430 : 1, 2, 5, 10, 43, 86, 215, 430

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,391,139,423,430, is 1.

Now, the common factors can be found like this.

381:3x 127

391:17x 23

139:139

423:3x 3x 47

430:2x 5x 43

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

3 = 3

Therefore, the value for common factors is 3.

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 = 3766390591410/(1x3)

LCM = 3766390591410/3

LCM = 1255463530470

Thus, we can understand that the LCM of 381,391,139,423,430 is 1255463530470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 381, 391, 139, 423, 430

1. What is the LCM of 381, 391, 139, 423, 430?

Answer: LCM of 381, 391, 139, 423, 430 is 1255463530470.

2. How to calculate the LCM of 381, 391, 139, 423, 430?

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, 391, 139, 423, 430.

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}.