LCM of 398, 540, 693, 597, 803
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 540, 693, 597, 803 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, 540, 693, 597, 803. So, keep reading to learn more.
Given numbers are 398,540,693,597,803
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,540,693,597,803 is 604032660.
Find LCM of 398,540,693,597,803 with Prime Factorization
| 2 | 398, 540, 693, 597, 803 |
| 3 | 199, 270, 693, 597, 803 |
| 3 | 199, 90, 231, 199, 803 |
| 11 | 199, 30, 77, 199, 803 |
| 199 | 199, 30, 7, 199, 73 |
| 1, 30, 7, 1, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 199 x 1 x 30 x 7 x 1 x 73 = 604032660
Therefore, the lowest common multiple of 398,540,693,597,803 is 604032660.
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 540 x 693 x 597 x 803 = 71400284607960
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
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
597 : 1, 3, 199, 597
803 : 1, 11, 73, 803
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,540,693,597,803, is 1.
Now, the common factors can be found like this.
398:2x 199
540:2x 2x 3x 3x 3x 5
693:3x 3x 7x 11
597:3x 199
803:11x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 11x 199 = 118206
Therefore, the value for common factors is 118206.
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 = 71400284607960/(1x118206)
LCM = 71400284607960/118206
LCM = 604032660
Thus, we can understand that the LCM of 398,540,693,597,803 is 604032660.
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FAQs on LCM of 398, 540, 693, 597, 803
1. What is the LCM of 398, 540, 693, 597, 803?
Answer: LCM of 398, 540, 693, 597, 803 is 604032660.
2. How to calculate the LCM of 398, 540, 693, 597, 803?
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, 540, 693, 597, 803.
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}.