Find the LCM of 598, 590, 385, 750, 880 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 598, 590, 385, 750, 880. So, keep reading to learn more.
Given numbers are 598,590,385,750,880
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,590,385,750,880 is 8150142000.
Find LCM of 598,590,385,750,880 with Prime Factorization
2 | 598, 590, 385, 750, 880 |
5 | 299, 295, 385, 375, 440 |
11 | 299, 59, 77, 75, 88 |
299, 59, 7, 75, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 299 x 59 x 7 x 75 x 8 = 8150142000
Therefore, the lowest common multiple of 598,590,385,750,880 is 8150142000.
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.
598 x 590 x 385 x 750 x 880 = 89651562000000
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
590 : 1, 2, 5, 10, 59, 118, 295, 590
385 : 1, 5, 7, 11, 35, 55, 77, 385
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,590,385,750,880, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
590:2x 5x 59
385:5x 7x 11
750:2x 3x 5x 5x 5
880:2x 2x 2x 2x 5x 11
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 5x 5x 5x 11 = 11000
Therefore, the value for common factors is 11000.
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 = 89651562000000/(1x11000)
LCM = 89651562000000/11000
LCM = 8150142000
Thus, we can understand that the LCM of 598,590,385,750,880 is 8150142000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 598, 590, 385, 750, 880?
Answer: LCM of 598, 590, 385, 750, 880 is 8150142000.
2. How to calculate the LCM of 598, 590, 385, 750, 880?
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 598, 590, 385, 750, 880.
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}.