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LCM of 987, 901, 699, 448, 180

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


Find the LCM of 987, 901, 699, 448, 180 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 987, 901, 699, 448, 180. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 987,901,699,448,180

Given numbers are 987,901,699,448,180

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

The LCM of 987,901,699,448,180 is 198915716160.

Find LCM of 987,901,699,448,180 with Prime Factorization


2 987, 901, 699, 448, 180
2 987, 901, 699, 224, 90
3 987, 901, 699, 112, 45
7 329, 901, 233, 112, 15
47, 901, 233, 16, 15

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

2 x 2 x 3 x 7 x 47 x 901 x 233 x 16 x 15 = 198915716160

Therefore, the lowest common multiple of 987,901,699,448,180 is 198915716160.

LCM Formula to Find Lowest Common Multiple of 987,901,699,448,180

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.

987 x 901 x 699 x 448 x 180 = 50126760472320

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.

987 : 1, 3, 7, 21, 47, 141, 329, 987

901 : 1, 17, 53, 901

699 : 1, 3, 233, 699

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,901,699,448,180, is 1.

Now, the common factors can be found like this.

987:3x 7x 47

901:17x 53

699:3x 233

448:2x 2x 2x 2x 2x 2x 7

180:2x 2x 3x 3x 5

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 3x 3x 7 = 252

Therefore, the value for common factors is 252.

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 = 50126760472320/(1x252)

LCM = 50126760472320/252

LCM = 198915716160

Thus, we can understand that the LCM of 987,901,699,448,180 is 198915716160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 987, 901, 699, 448, 180

1. What is the LCM of 987, 901, 699, 448, 180?

Answer: LCM of 987, 901, 699, 448, 180 is 198915716160.

2. How to calculate the LCM of 987, 901, 699, 448, 180?

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 987, 901, 699, 448, 180.

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}.