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LCM of 886, 484, 418, 625

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


Find the LCM of 886, 484, 418, 625 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 886, 484, 418, 625. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 886,484,418,625

Given numbers are 886,484,418,625

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

The LCM of 886,484,418,625 is 2546142500.

Find LCM of 886,484,418,625 with Prime Factorization


2 886, 484, 418, 625
11 443, 242, 209, 625
443, 22, 19, 625

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

2 x 11 x 443 x 22 x 19 x 625 = 2546142500

Therefore, the lowest common multiple of 886,484,418,625 is 2546142500.

LCM Formula to Find Lowest Common Multiple of 886,484,418,625

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.

886 x 484 x 418 x 625 = 112030270000

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.

886 : 1, 2, 443, 886

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

418 : 1, 2, 11, 19, 22, 38, 209, 418

625 : 1, 5, 25, 125, 625

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 886,484,418,625, is 1.

Now, the common factors can be found like this.

886:2x 443

484:2x 2x 11x 11

418:2x 11x 19

625:5x 5x 5x 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 11 = 44

Therefore, the value for common factors is 44.

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 = 112030270000/(1x44)

LCM = 112030270000/44

LCM = 2546142500

Thus, we can understand that the LCM of 886,484,418,625 is 2546142500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 886, 484, 418, 625

1. What is the LCM of 886, 484, 418, 625?

Answer: LCM of 886, 484, 418, 625 is 2546142500.

2. How to calculate the LCM of 886, 484, 418, 625?

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 886, 484, 418, 625.

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}.