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LCM of 342, 128, 482, 354, 424

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


Find the LCM of 342, 128, 482, 354, 424 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 342, 128, 482, 354, 424. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 342,128,482,354,424

Given numbers are 342,128,482,354,424

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

The LCM of 342,128,482,354,424 is 16494950016.

Find LCM of 342,128,482,354,424 with Prime Factorization


2 342, 128, 482, 354, 424
2 171, 64, 241, 177, 212
2 171, 32, 241, 177, 106
3 171, 16, 241, 177, 53
57, 16, 241, 59, 53

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

2 x 2 x 2 x 3 x 57 x 16 x 241 x 59 x 53 = 16494950016

Therefore, the lowest common multiple of 342,128,482,354,424 is 16494950016.

LCM Formula to Find Lowest Common Multiple of 342,128,482,354,424

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.

342 x 128 x 482 x 354 x 424 = 3167030403072

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.

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

128 : 1, 2, 4, 8, 16, 32, 64, 128

482 : 1, 2, 241, 482

354 : 1, 2, 3, 6, 59, 118, 177, 354

424 : 1, 2, 4, 8, 53, 106, 212, 424

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,128,482,354,424, is 2.

Now, the common factors can be found like this.

342:2x 3x 3x 19

128:2x 2x 2x 2x 2x 2x 2

482:2x 241

354:2x 3x 59

424:2x 2x 2x 53

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 2x 3 = 96

Therefore, the value for common factors is 96.

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 = 3167030403072/(2x96)

LCM = 3167030403072/192

LCM = 16494950016

Thus, we can understand that the LCM of 342,128,482,354,424 is 16494950016.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 342, 128, 482, 354, 424

1. What is the LCM of 342, 128, 482, 354, 424?

Answer: LCM of 342, 128, 482, 354, 424 is 16494950016.

2. How to calculate the LCM of 342, 128, 482, 354, 424?

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 342, 128, 482, 354, 424.

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}.