LCM of 598, 938, 170, 894, 320
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 938, 170, 894, 320 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, 938, 170, 894, 320. So, keep reading to learn more.
Given numbers are 598,938,170,894,320
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,938,170,894,320 is 340996918080.
Find LCM of 598,938,170,894,320 with Prime Factorization
| 2 | 598, 938, 170, 894, 320 |
| 5 | 299, 469, 85, 447, 160 |
| 299, 469, 17, 447, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 299 x 469 x 17 x 447 x 32 = 340996918080
Therefore, the lowest common multiple of 598,938,170,894,320 is 340996918080.
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 938 x 170 x 894 x 320 = 27279753446400
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
938 : 1, 2, 7, 14, 67, 134, 469, 938
170 : 1, 2, 5, 10, 17, 34, 85, 170
894 : 1, 2, 3, 6, 149, 298, 447, 894
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,938,170,894,320, is 2.
Now, the common factors can be found like this.
598:2x 13x 23
938:2x 7x 67
170:2x 5x 17
894:2x 3x 149
320:2x 2x 2x 2x 2x 2x 5
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 5 = 40
Therefore, the value for common factors is 40.
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 = 27279753446400/(2x40)
LCM = 27279753446400/80
LCM = 340996918080
Thus, we can understand that the LCM of 598,938,170,894,320 is 340996918080.
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FAQs on LCM of 598, 938, 170, 894, 320
1. What is the LCM of 598, 938, 170, 894, 320?
Answer: LCM of 598, 938, 170, 894, 320 is 340996918080.
2. How to calculate the LCM of 598, 938, 170, 894, 320?
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, 938, 170, 894, 320.
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}.