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LCM of 381, 791, 703, 623

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


Find the LCM of 381, 791, 703, 623 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, 791, 703, 623. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 381,791,703,623

Given numbers are 381,791,703,623

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

The LCM of 381,791,703,623 is 18855879357.

Find LCM of 381,791,703,623 with Prime Factorization


7 381, 791, 703, 623
381, 113, 703, 89

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

7 x 381 x 113 x 703 x 89 = 18855879357

Therefore, the lowest common multiple of 381,791,703,623 is 18855879357.

LCM Formula to Find Lowest Common Multiple of 381,791,703,623

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 791 x 703 x 623 = 131991155499

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

791 : 1, 7, 113, 791

703 : 1, 19, 37, 703

623 : 1, 7, 89, 623

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,791,703,623, is 1.

Now, the common factors can be found like this.

381:3x 127

791:7x 113

703:19x 37

623:7x 89

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

7 = 7

Therefore, the value for common factors is 7.

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 = 131991155499/(1x7)

LCM = 131991155499/7

LCM = 18855879357

Thus, we can understand that the LCM of 381,791,703,623 is 18855879357.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 381, 791, 703, 623

1. What is the LCM of 381, 791, 703, 623?

Answer: LCM of 381, 791, 703, 623 is 18855879357.

2. How to calculate the LCM of 381, 791, 703, 623?

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, 791, 703, 623.

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}.