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LCM of 281, 340, 482, 136

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


Find the LCM of 281, 340, 482, 136 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 281, 340, 482, 136. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 281,340,482,136

Given numbers are 281,340,482,136

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

The LCM of 281,340,482,136 is 46050280.

Find LCM of 281,340,482,136 with Prime Factorization


2 281, 340, 482, 136
2 281, 170, 241, 68
17 281, 85, 241, 34
281, 5, 241, 2

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

2 x 2 x 17 x 281 x 5 x 241 x 2 = 46050280

Therefore, the lowest common multiple of 281,340,482,136 is 46050280.

LCM Formula to Find Lowest Common Multiple of 281,340,482,136

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.

281 x 340 x 482 x 136 = 6262838080

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.

281 : 1, 281

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

482 : 1, 2, 241, 482

136 : 1, 2, 4, 8, 17, 34, 68, 136

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,340,482,136, is 1.

Now, the common factors can be found like this.

281:281

340:2x 2x 5x 17

482:2x 241

136:2x 2x 2x 17

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 17 = 136

Therefore, the value for common factors is 136.

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 = 6262838080/(1x136)

LCM = 6262838080/136

LCM = 46050280

Thus, we can understand that the LCM of 281,340,482,136 is 46050280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 281, 340, 482, 136

1. What is the LCM of 281, 340, 482, 136?

Answer: LCM of 281, 340, 482, 136 is 46050280.

2. How to calculate the LCM of 281, 340, 482, 136?

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 281, 340, 482, 136.

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}.