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LCM of 427, 419, 616, 448, 230

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


Find the LCM of 427, 419, 616, 448, 230 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 427, 419, 616, 448, 230. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 427,419,616,448,230

Given numbers are 427,419,616,448,230

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

The LCM of 427,419,616,448,230 is 14484796480.

Find LCM of 427,419,616,448,230 with Prime Factorization


2 427, 419, 616, 448, 230
2 427, 419, 308, 224, 115
2 427, 419, 154, 112, 115
7 427, 419, 77, 56, 115
61, 419, 11, 8, 115

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

2 x 2 x 2 x 7 x 61 x 419 x 11 x 8 x 115 = 14484796480

Therefore, the lowest common multiple of 427,419,616,448,230 is 14484796480.

LCM Formula to Find Lowest Common Multiple of 427,419,616,448,230

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.

427 x 419 x 616 x 448 x 230 = 11356080440320

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.

427 : 1, 7, 61, 427

419 : 1, 419

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,419,616,448,230, is 1.

Now, the common factors can be found like this.

427:7x 61

419:419

616:2x 2x 2x 7x 11

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

230:2x 5x 23

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 7x 7 = 784

Therefore, the value for common factors is 784.

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 = 11356080440320/(1x784)

LCM = 11356080440320/784

LCM = 14484796480

Thus, we can understand that the LCM of 427,419,616,448,230 is 14484796480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 427, 419, 616, 448, 230

1. What is the LCM of 427, 419, 616, 448, 230?

Answer: LCM of 427, 419, 616, 448, 230 is 14484796480.

2. How to calculate the LCM of 427, 419, 616, 448, 230?

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 427, 419, 616, 448, 230.

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}.