LCM of 367, 101, 454, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 367, 101, 454, 648 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 367, 101, 454, 648. So, keep reading to learn more.
Given numbers are 367,101,454,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 367,101,454,648 is 5452407432.
Find LCM of 367,101,454,648 with Prime Factorization
| 2 | 367, 101, 454, 648 |
| 367, 101, 227, 324 |
Multiply the prime numbers at the bottom and the left side.
2 x 367 x 101 x 227 x 324 = 5452407432
Therefore, the lowest common multiple of 367,101,454,648 is 5452407432.
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.
367 x 101 x 454 x 648 = 10904814864
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.
367 : 1, 367
101 : 1, 101
454 : 1, 2, 227, 454
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,101,454,648, is 1.
Now, the common factors can be found like this.
367:367
101:101
454:2x 227
648:2x 2x 2x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 10904814864/(1x2)
LCM = 10904814864/2
LCM = 5452407432
Thus, we can understand that the LCM of 367,101,454,648 is 5452407432.
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FAQs on LCM of 367, 101, 454, 648
1. What is the LCM of 367, 101, 454, 648?
Answer: LCM of 367, 101, 454, 648 is 5452407432.
2. How to calculate the LCM of 367, 101, 454, 648?
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 367, 101, 454, 648.
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}.