LCM of 240, 418, 592, 517, 354
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 240, 418, 592, 517, 354 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 240, 418, 592, 517, 354. So, keep reading to learn more.
Given numbers are 240,418,592,517,354
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,418,592,517,354 is 5146466160.
Find LCM of 240,418,592,517,354 with Prime Factorization
| 2 | 240, 418, 592, 517, 354 |
| 2 | 120, 209, 296, 517, 177 |
| 2 | 60, 209, 148, 517, 177 |
| 2 | 30, 209, 74, 517, 177 |
| 3 | 15, 209, 37, 517, 177 |
| 11 | 5, 209, 37, 517, 59 |
| 5, 19, 37, 47, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 11 x 5 x 19 x 37 x 47 x 59 = 5146466160
Therefore, the lowest common multiple of 240,418,592,517,354 is 5146466160.
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.
240 x 418 x 592 x 517 x 354 = 10869336529920
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.
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
418 : 1, 2, 11, 19, 22, 38, 209, 418
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
517 : 1, 11, 47, 517
354 : 1, 2, 3, 6, 59, 118, 177, 354
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,418,592,517,354, is 1.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
418:2x 11x 19
592:2x 2x 2x 2x 37
517:11x 47
354:2x 3x 59
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 2x 3x 11 = 2112
Therefore, the value for common factors is 2112.
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 = 10869336529920/(1x2112)
LCM = 10869336529920/2112
LCM = 5146466160
Thus, we can understand that the LCM of 240,418,592,517,354 is 5146466160.
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FAQs on LCM of 240, 418, 592, 517, 354
1. What is the LCM of 240, 418, 592, 517, 354?
Answer: LCM of 240, 418, 592, 517, 354 is 5146466160.
2. How to calculate the LCM of 240, 418, 592, 517, 354?
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 240, 418, 592, 517, 354.
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}.