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LCM of 448, 625, 988, 884

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


Find the LCM of 448, 625, 988, 884 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 448, 625, 988, 884. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 448,625,988,884

Given numbers are 448,625,988,884

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

The LCM of 448,625,988,884 is 1175720000.

Find LCM of 448,625,988,884 with Prime Factorization


2 448, 625, 988, 884
2 224, 625, 494, 442
13 112, 625, 247, 221
112, 625, 19, 17

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

2 x 2 x 13 x 112 x 625 x 19 x 17 = 1175720000

Therefore, the lowest common multiple of 448,625,988,884 is 1175720000.

LCM Formula to Find Lowest Common Multiple of 448,625,988,884

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.

448 x 625 x 988 x 884 = 244549760000

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.

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

625 : 1, 5, 25, 125, 625

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,625,988,884, is 1.

Now, the common factors can be found like this.

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

625:5x 5x 5x 5

988:2x 2x 13x 19

884:2x 2x 13x 17

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 13 = 208

Therefore, the value for common factors is 208.

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 = 244549760000/(1x208)

LCM = 244549760000/208

LCM = 1175720000

Thus, we can understand that the LCM of 448,625,988,884 is 1175720000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 448, 625, 988, 884

1. What is the LCM of 448, 625, 988, 884?

Answer: LCM of 448, 625, 988, 884 is 1175720000.

2. How to calculate the LCM of 448, 625, 988, 884?

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 448, 625, 988, 884.

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}.