LCM of 398, 796, 900, 987
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 796, 900, 987 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 398, 796, 900, 987. So, keep reading to learn more.
Given numbers are 398,796,900,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,796,900,987 is 58923900.
Find LCM of 398,796,900,987 with Prime Factorization
| 2 | 398, 796, 900, 987 |
| 2 | 199, 398, 450, 987 |
| 3 | 199, 199, 225, 987 |
| 199 | 199, 199, 75, 329 |
| 1, 1, 75, 329 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 199 x 1 x 1 x 75 x 329 = 58923900
Therefore, the lowest common multiple of 398,796,900,987 is 58923900.
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.
398 x 796 x 900 x 987 = 281420546400
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.
398 : 1, 2, 199, 398
796 : 1, 2, 4, 199, 398, 796
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,796,900,987, is 1.
Now, the common factors can be found like this.
398:2x 199
796:2x 2x 199
900:2x 2x 3x 3x 5x 5
987:3x 7x 47
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 3x 199 = 4776
Therefore, the value for common factors is 4776.
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 = 281420546400/(1x4776)
LCM = 281420546400/4776
LCM = 58923900
Thus, we can understand that the LCM of 398,796,900,987 is 58923900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 398, 796, 900, 987
1. What is the LCM of 398, 796, 900, 987?
Answer: LCM of 398, 796, 900, 987 is 58923900.
2. How to calculate the LCM of 398, 796, 900, 987?
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 398, 796, 900, 987.
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}.