LCM of 495, 398, 407, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 495, 398, 407, 684 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 495, 398, 407, 684. So, keep reading to learn more.
Given numbers are 495,398,407,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 495,398,407,684 is 276996060.
Find LCM of 495,398,407,684 with Prime Factorization
| 2 | 495, 398, 407, 684 |
| 3 | 495, 199, 407, 342 |
| 3 | 165, 199, 407, 114 |
| 11 | 55, 199, 407, 38 |
| 5, 199, 37, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 5 x 199 x 37 x 38 = 276996060
Therefore, the lowest common multiple of 495,398,407,684 is 276996060.
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.
495 x 398 x 407 x 684 = 54845219880
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.
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
398 : 1, 2, 199, 398
407 : 1, 11, 37, 407
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,398,407,684, is 1.
Now, the common factors can be found like this.
495:3x 3x 5x 11
398:2x 199
407:11x 37
684:2x 2x 3x 3x 19
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 11 = 198
Therefore, the value for common factors is 198.
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 = 54845219880/(1x198)
LCM = 54845219880/198
LCM = 276996060
Thus, we can understand that the LCM of 495,398,407,684 is 276996060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 495, 398, 407, 684
1. What is the LCM of 495, 398, 407, 684?
Answer: LCM of 495, 398, 407, 684 is 276996060.
2. How to calculate the LCM of 495, 398, 407, 684?
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 495, 398, 407, 684.
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}.