LCM of 391, 451, 919, 398, 153
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 391, 451, 919, 398, 153 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 391, 451, 919, 398, 153. So, keep reading to learn more.
Given numbers are 391,451,919,398,153
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,451,919,398,153 is 580489531578.
Find LCM of 391,451,919,398,153 with Prime Factorization
| 17 | 391, 451, 919, 398, 153 |
| 23, 451, 919, 398, 9 |
Multiply the prime numbers at the bottom and the left side.
17 x 23 x 451 x 919 x 398 x 9 = 580489531578
Therefore, the lowest common multiple of 391,451,919,398,153 is 580489531578.
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.
391 x 451 x 919 x 398 x 153 = 9868322036826
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.
391 : 1, 17, 23, 391
451 : 1, 11, 41, 451
919 : 1, 919
398 : 1, 2, 199, 398
153 : 1, 3, 9, 17, 51, 153
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,451,919,398,153, is 1.
Now, the common factors can be found like this.
391:17x 23
451:11x 41
919:919
398:2x 199
153:3x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 9868322036826/(1x17)
LCM = 9868322036826/17
LCM = 580489531578
Thus, we can understand that the LCM of 391,451,919,398,153 is 580489531578.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 391, 451, 919, 398, 153
1. What is the LCM of 391, 451, 919, 398, 153?
Answer: LCM of 391, 451, 919, 398, 153 is 580489531578.
2. How to calculate the LCM of 391, 451, 919, 398, 153?
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 391, 451, 919, 398, 153.
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}.