LCM of 398, 902, 902, 108, 495
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 902, 902, 108, 495 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, 902, 902, 108, 495. So, keep reading to learn more.
Given numbers are 398,902,902,108,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,902,902,108,495 is 48464460.
Find LCM of 398,902,902,108,495 with Prime Factorization
| 2 | 398, 902, 902, 108, 495 |
| 3 | 199, 451, 451, 54, 495 |
| 3 | 199, 451, 451, 18, 165 |
| 11 | 199, 451, 451, 6, 55 |
| 41 | 199, 41, 41, 6, 5 |
| 199, 1, 1, 6, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 41 x 199 x 1 x 1 x 6 x 5 = 48464460
Therefore, the lowest common multiple of 398,902,902,108,495 is 48464460.
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 902 x 902 x 108 x 495 = 17311117396320
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
902 : 1, 2, 11, 22, 41, 82, 451, 902
902 : 1, 2, 11, 22, 41, 82, 451, 902
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,902,902,108,495, is 1.
Now, the common factors can be found like this.
398:2x 199
902:2x 11x 41
902:2x 11x 41
108:2x 2x 3x 3x 3
495:3x 3x 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 3x 3x 11x 11x 41 = 357192
Therefore, the value for common factors is 357192.
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 = 17311117396320/(1x357192)
LCM = 17311117396320/357192
LCM = 48464460
Thus, we can understand that the LCM of 398,902,902,108,495 is 48464460.
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FAQs on LCM of 398, 902, 902, 108, 495
1. What is the LCM of 398, 902, 902, 108, 495?
Answer: LCM of 398, 902, 902, 108, 495 is 48464460.
2. How to calculate the LCM of 398, 902, 902, 108, 495?
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, 902, 902, 108, 495.
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}.