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LCM of 391, 778, 882, 436, 473

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


Find the LCM of 391, 778, 882, 436, 473 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 391, 778, 882, 436, 473. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 391,778,882,436,473

Given numbers are 391,778,882,436,473

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

The LCM of 391,778,882,436,473 is 13832879004252.

Find LCM of 391,778,882,436,473 with Prime Factorization


2 391, 778, 882, 436, 473
391, 389, 441, 218, 473

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

2 x 391 x 389 x 441 x 218 x 473 = 13832879004252

Therefore, the lowest common multiple of 391,778,882,436,473 is 13832879004252.

LCM Formula to Find Lowest Common Multiple of 391,778,882,436,473

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.

391 x 778 x 882 x 436 x 473 = 55331516017008

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.

391 : 1, 17, 23, 391

778 : 1, 2, 389, 778

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

436 : 1, 2, 4, 109, 218, 436

473 : 1, 11, 43, 473

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,778,882,436,473, is 1.

Now, the common factors can be found like this.

391:17x 23

778:2x 389

882:2x 3x 3x 7x 7

436:2x 2x 109

473:11x 43

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 55331516017008/(1x4)

LCM = 55331516017008/4

LCM = 13832879004252

Thus, we can understand that the LCM of 391,778,882,436,473 is 13832879004252.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 391, 778, 882, 436, 473

1. What is the LCM of 391, 778, 882, 436, 473?

Answer: LCM of 391, 778, 882, 436, 473 is 13832879004252.

2. How to calculate the LCM of 391, 778, 882, 436, 473?

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 391, 778, 882, 436, 473.

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}.