LCM of 408, 374, 221, 314, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 408, 374, 221, 314, 240 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 408, 374, 221, 314, 240. So, keep reading to learn more.
Given numbers are 408,374,221,314,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 408,374,221,314,240 is 91600080.
Find LCM of 408,374,221,314,240 with Prime Factorization
| 2 | 408, 374, 221, 314, 240 |
| 2 | 204, 187, 221, 157, 120 |
| 2 | 102, 187, 221, 157, 60 |
| 3 | 51, 187, 221, 157, 30 |
| 17 | 17, 187, 221, 157, 10 |
| 1, 11, 13, 157, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 1 x 11 x 13 x 157 x 10 = 91600080
Therefore, the lowest common multiple of 408,374,221,314,240 is 91600080.
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.
408 x 374 x 221 x 314 x 240 = 2541352619520
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.
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
374 : 1, 2, 11, 17, 22, 34, 187, 374
221 : 1, 13, 17, 221
314 : 1, 2, 157, 314
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,374,221,314,240, is 1.
Now, the common factors can be found like this.
408:2x 2x 2x 3x 17
374:2x 11x 17
221:13x 17
314:2x 157
240:2x 2x 2x 2x 3x 5
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 2x 2x 3x 17x 17 = 27744
Therefore, the value for common factors is 27744.
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 = 2541352619520/(1x27744)
LCM = 2541352619520/27744
LCM = 91600080
Thus, we can understand that the LCM of 408,374,221,314,240 is 91600080.
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FAQs on LCM of 408, 374, 221, 314, 240
1. What is the LCM of 408, 374, 221, 314, 240?
Answer: LCM of 408, 374, 221, 314, 240 is 91600080.
2. How to calculate the LCM of 408, 374, 221, 314, 240?
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 408, 374, 221, 314, 240.
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}.