LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 361, 202, 452, 304, 404

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


Find the LCM of 361, 202, 452, 304, 404 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, 202, 452, 304, 404. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,202,452,304,404

Given numbers are 361,202,452,304,404

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

The LCM of 361,202,452,304,404 is 65921488.

Find LCM of 361,202,452,304,404 with Prime Factorization


2 361, 202, 452, 304, 404
2 361, 101, 226, 152, 202
19 361, 101, 113, 76, 101
101 19, 101, 113, 4, 101
19, 1, 113, 4, 1

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

2 x 2 x 19 x 101 x 19 x 1 x 113 x 4 x 1 = 65921488

Therefore, the lowest common multiple of 361,202,452,304,404 is 65921488.

LCM Formula to Find Lowest Common Multiple of 361,202,452,304,404

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 202 x 452 x 304 x 404 = 4048106735104

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

202 : 1, 2, 101, 202

452 : 1, 2, 4, 113, 226, 452

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

404 : 1, 2, 4, 101, 202, 404

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,202,452,304,404, is 1.

Now, the common factors can be found like this.

361:19x 19

202:2x 101

452:2x 2x 113

304:2x 2x 2x 2x 19

404:2x 2x 101

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

2x 2x 2x 2x 2x 19x 101 = 61408

Therefore, the value for common factors is 61408.

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 = 4048106735104/(1x61408)

LCM = 4048106735104/61408

LCM = 65921488

Thus, we can understand that the LCM of 361,202,452,304,404 is 65921488.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 202, 452, 304, 404

1. What is the LCM of 361, 202, 452, 304, 404?

Answer: LCM of 361, 202, 452, 304, 404 is 65921488.

2. How to calculate the LCM of 361, 202, 452, 304, 404?

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, 202, 452, 304, 404.

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}.