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LCM of 553, 428, 418, 280

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


Find the LCM of 553, 428, 418, 280 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 553, 428, 418, 280. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 553,428,418,280

Given numbers are 553,428,418,280

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

The LCM of 553,428,418,280 is 494669560.

Find LCM of 553,428,418,280 with Prime Factorization


2 553, 428, 418, 280
2 553, 214, 209, 140
7 553, 107, 209, 70
79, 107, 209, 10

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

2 x 2 x 7 x 79 x 107 x 209 x 10 = 494669560

Therefore, the lowest common multiple of 553,428,418,280 is 494669560.

LCM Formula to Find Lowest Common Multiple of 553,428,418,280

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.

553 x 428 x 418 x 280 = 27701495360

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.

553 : 1, 7, 79, 553

428 : 1, 2, 4, 107, 214, 428

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

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,428,418,280, is 1.

Now, the common factors can be found like this.

553:7x 79

428:2x 2x 107

418:2x 11x 19

280:2x 2x 2x 5x 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 7 = 56

Therefore, the value for common factors is 56.

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 = 27701495360/(1x56)

LCM = 27701495360/56

LCM = 494669560

Thus, we can understand that the LCM of 553,428,418,280 is 494669560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 553, 428, 418, 280

1. What is the LCM of 553, 428, 418, 280?

Answer: LCM of 553, 428, 418, 280 is 494669560.

2. How to calculate the LCM of 553, 428, 418, 280?

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 553, 428, 418, 280.

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}.