LCM of 424, 200, 398, 770, 200
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 424, 200, 398, 770, 200 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 424, 200, 398, 770, 200. So, keep reading to learn more.
Given numbers are 424,200,398,770,200
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 424,200,398,770,200 is 162423800.
Find LCM of 424,200,398,770,200 with Prime Factorization
| 2 | 424, 200, 398, 770, 200 |
| 2 | 212, 100, 199, 385, 100 |
| 2 | 106, 50, 199, 385, 50 |
| 5 | 53, 25, 199, 385, 25 |
| 5 | 53, 5, 199, 77, 5 |
| 53, 1, 199, 77, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 5 x 53 x 1 x 199 x 77 x 1 = 162423800
Therefore, the lowest common multiple of 424,200,398,770,200 is 162423800.
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.
424 x 200 x 398 x 770 x 200 = 5197561600000
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.
424 : 1, 2, 4, 8, 53, 106, 212, 424
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
398 : 1, 2, 199, 398
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,200,398,770,200, is 2.
Now, the common factors can be found like this.
424:2x 2x 2x 53
200:2x 2x 2x 5x 5
398:2x 199
770:2x 5x 7x 11
200:2x 2x 2x 5x 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 2x 2x 2x 2x 5x 5x 5 = 16000
Therefore, the value for common factors is 16000.
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 = 5197561600000/(2x16000)
LCM = 5197561600000/32000
LCM = 162423800
Thus, we can understand that the LCM of 424,200,398,770,200 is 162423800.
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FAQs on LCM of 424, 200, 398, 770, 200
1. What is the LCM of 424, 200, 398, 770, 200?
Answer: LCM of 424, 200, 398, 770, 200 is 162423800.
2. How to calculate the LCM of 424, 200, 398, 770, 200?
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 424, 200, 398, 770, 200.
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}.