LCM of 367, 814, 253, 252, 608
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 367, 814, 253, 252, 608 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, 814, 253, 252, 608. So, keep reading to learn more.
Given numbers are 367,814,253,252,608
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 367,814,253,252,608 is 131592894048.
Find LCM of 367,814,253,252,608 with Prime Factorization
| 2 | 367, 814, 253, 252, 608 |
| 2 | 367, 407, 253, 126, 304 |
| 11 | 367, 407, 253, 63, 152 |
| 367, 37, 23, 63, 152 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 367 x 37 x 23 x 63 x 152 = 131592894048
Therefore, the lowest common multiple of 367,814,253,252,608 is 131592894048.
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 814 x 253 x 252 x 608 = 11580174676224
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
814 : 1, 2, 11, 22, 37, 74, 407, 814
253 : 1, 11, 23, 253
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,814,253,252,608, is 1.
Now, the common factors can be found like this.
367:367
814:2x 11x 37
253:11x 23
252:2x 2x 3x 3x 7
608:2x 2x 2x 2x 2x 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 2x 2x 11 = 88
Therefore, the value for common factors is 88.
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 = 11580174676224/(1x88)
LCM = 11580174676224/88
LCM = 131592894048
Thus, we can understand that the LCM of 367,814,253,252,608 is 131592894048.
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FAQs on LCM of 367, 814, 253, 252, 608
1. What is the LCM of 367, 814, 253, 252, 608?
Answer: LCM of 367, 814, 253, 252, 608 is 131592894048.
2. How to calculate the LCM of 367, 814, 253, 252, 608?
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, 814, 253, 252, 608.
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}.