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LCM of 854, 482, 482, 414, 159

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


Find the LCM of 854, 482, 482, 414, 159 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 854, 482, 482, 414, 159. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 854,482,482,414,159

Given numbers are 854,482,482,414,159

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

The LCM of 854,482,482,414,159 is 2257985394.

Find LCM of 854,482,482,414,159 with Prime Factorization


2 854, 482, 482, 414, 159
3 427, 241, 241, 207, 159
241 427, 241, 241, 69, 53
427, 1, 1, 69, 53

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

2 x 3 x 241 x 427 x 1 x 1 x 69 x 53 = 2257985394

Therefore, the lowest common multiple of 854,482,482,414,159 is 2257985394.

LCM Formula to Find Lowest Common Multiple of 854,482,482,414,159

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.

854 x 482 x 482 x 414 x 159 = 13060187518896

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.

854 : 1, 2, 7, 14, 61, 122, 427, 854

482 : 1, 2, 241, 482

482 : 1, 2, 241, 482

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

159 : 1, 3, 53, 159

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,482,482,414,159, is 1.

Now, the common factors can be found like this.

854:2x 7x 61

482:2x 241

482:2x 241

414:2x 3x 3x 23

159:3x 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 3x 241 = 5784

Therefore, the value for common factors is 5784.

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 = 13060187518896/(1x5784)

LCM = 13060187518896/5784

LCM = 2257985394

Thus, we can understand that the LCM of 854,482,482,414,159 is 2257985394.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 854, 482, 482, 414, 159

1. What is the LCM of 854, 482, 482, 414, 159?

Answer: LCM of 854, 482, 482, 414, 159 is 2257985394.

2. How to calculate the LCM of 854, 482, 482, 414, 159?

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 854, 482, 482, 414, 159.

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}.