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LCM of 361, 437, 531, 399, 454

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


Find the LCM of 361, 437, 531, 399, 454 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 361, 437, 531, 399, 454. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,437,531,399,454

Given numbers are 361,437,531,399,454

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

The LCM of 361,437,531,399,454 is 14011461954.

Find LCM of 361,437,531,399,454 with Prime Factorization


3 361, 437, 531, 399, 454
19 361, 437, 177, 133, 454
19, 23, 177, 7, 454

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

3 x 19 x 19 x 23 x 177 x 7 x 454 = 14011461954

Therefore, the lowest common multiple of 361,437,531,399,454 is 14011461954.

LCM Formula to Find Lowest Common Multiple of 361,437,531,399,454

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.

361 x 437 x 531 x 399 x 454 = 15174413296182

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.

361 : 1, 19, 361

437 : 1, 19, 23, 437

531 : 1, 3, 9, 59, 177, 531

399 : 1, 3, 7, 19, 21, 57, 133, 399

454 : 1, 2, 227, 454

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,437,531,399,454, is 1.

Now, the common factors can be found like this.

361:19x 19

437:19x 23

531:3x 3x 59

399:3x 7x 19

454:2x 227

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

3x 19x 19 = 1083

Therefore, the value for common factors is 1083.

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 = 15174413296182/(1x1083)

LCM = 15174413296182/1083

LCM = 14011461954

Thus, we can understand that the LCM of 361,437,531,399,454 is 14011461954.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 437, 531, 399, 454

1. What is the LCM of 361, 437, 531, 399, 454?

Answer: LCM of 361, 437, 531, 399, 454 is 14011461954.

2. How to calculate the LCM of 361, 437, 531, 399, 454?

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 361, 437, 531, 399, 454.

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}.