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LCM of 280, 409, 845, 598

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


Find the LCM of 280, 409, 845, 598 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 280, 409, 845, 598. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 280,409,845,598

Given numbers are 280,409,845,598

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

The LCM of 280,409,845,598 is 445139240.

Find LCM of 280,409,845,598 with Prime Factorization


2 280, 409, 845, 598
5 140, 409, 845, 299
13 28, 409, 169, 299
28, 409, 13, 23

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

2 x 5 x 13 x 28 x 409 x 13 x 23 = 445139240

Therefore, the lowest common multiple of 280,409,845,598 is 445139240.

LCM Formula to Find Lowest Common Multiple of 280,409,845,598

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.

280 x 409 x 845 x 598 = 57868101200

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.

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

409 : 1, 409

845 : 1, 5, 13, 65, 169, 845

598 : 1, 2, 13, 23, 26, 46, 299, 598

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,409,845,598, is 1.

Now, the common factors can be found like this.

280:2x 2x 2x 5x 7

409:409

845:5x 13x 13

598:2x 13x 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 5x 13 = 130

Therefore, the value for common factors is 130.

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 = 57868101200/(1x130)

LCM = 57868101200/130

LCM = 445139240

Thus, we can understand that the LCM of 280,409,845,598 is 445139240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 280, 409, 845, 598

1. What is the LCM of 280, 409, 845, 598?

Answer: LCM of 280, 409, 845, 598 is 445139240.

2. How to calculate the LCM of 280, 409, 845, 598?

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 280, 409, 845, 598.

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}.