LCM of 240, 335, 390, 645, 375
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 240, 335, 390, 645, 375 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, 335, 390, 645, 375. So, keep reading to learn more.
Given numbers are 240,335,390,645,375
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,335,390,645,375 is 224718000.
Find LCM of 240,335,390,645,375 with Prime Factorization
| 2 | 240, 335, 390, 645, 375 |
| 3 | 120, 335, 195, 645, 375 |
| 5 | 40, 335, 65, 215, 125 |
| 8, 67, 13, 43, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 8 x 67 x 13 x 43 x 25 = 224718000
Therefore, the lowest common multiple of 240,335,390,645,375 is 224718000.
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 335 x 390 x 645 x 375 = 7584232500000
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
335 : 1, 5, 67, 335
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
645 : 1, 3, 5, 15, 43, 129, 215, 645
375 : 1, 3, 5, 15, 25, 75, 125, 375
5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,335,390,645,375, is 5.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
335:5x 67
390:2x 3x 5x 13
645:3x 5x 43
375:3x 5x 5x 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 3x 3x 3x 5x 5x 5 = 6750
Therefore, the value for common factors is 6750.
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 = 7584232500000/(5x6750)
LCM = 7584232500000/33750
LCM = 224718000
Thus, we can understand that the LCM of 240,335,390,645,375 is 224718000.
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FAQs on LCM of 240, 335, 390, 645, 375
1. What is the LCM of 240, 335, 390, 645, 375?
Answer: LCM of 240, 335, 390, 645, 375 is 224718000.
2. How to calculate the LCM of 240, 335, 390, 645, 375?
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, 335, 390, 645, 375.
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}.