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LCM of 360, 983, 304, 404, 252

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


Find the LCM of 360, 983, 304, 404, 252 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 360, 983, 304, 404, 252. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 360,983,304,404,252

Given numbers are 360,983,304,404,252

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

The LCM of 360,983,304,404,252 is 9507340080.

Find LCM of 360,983,304,404,252 with Prime Factorization


2 360, 983, 304, 404, 252
2 180, 983, 152, 202, 126
2 90, 983, 76, 101, 63
3 45, 983, 38, 101, 63
3 15, 983, 38, 101, 21
5, 983, 38, 101, 7

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

2 x 2 x 2 x 3 x 3 x 5 x 983 x 38 x 101 x 7 = 9507340080

Therefore, the lowest common multiple of 360,983,304,404,252 is 9507340080.

LCM Formula to Find Lowest Common Multiple of 360,983,304,404,252

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.

360 x 983 x 304 x 404 x 252 = 10952455772160

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.

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

983 : 1, 983

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

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

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,983,304,404,252, is 1.

Now, the common factors can be found like this.

360:2x 2x 2x 3x 3x 5

983:983

304:2x 2x 2x 2x 19

404:2x 2x 101

252:2x 2x 3x 3x 7

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 2x 2x 3x 3 = 1152

Therefore, the value for common factors is 1152.

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 = 10952455772160/(1x1152)

LCM = 10952455772160/1152

LCM = 9507340080

Thus, we can understand that the LCM of 360,983,304,404,252 is 9507340080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 360, 983, 304, 404, 252

1. What is the LCM of 360, 983, 304, 404, 252?

Answer: LCM of 360, 983, 304, 404, 252 is 9507340080.

2. How to calculate the LCM of 360, 983, 304, 404, 252?

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 360, 983, 304, 404, 252.

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}.