LCM of 375, 270, 585, 243, 336
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 375, 270, 585, 243, 336 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 375, 270, 585, 243, 336. So, keep reading to learn more.
Given numbers are 375,270,585,243,336
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 375,270,585,243,336 is 44226000.
Find LCM of 375,270,585,243,336 with Prime Factorization
| 2 | 375, 270, 585, 243, 336 |
| 3 | 375, 135, 585, 243, 168 |
| 3 | 125, 45, 195, 81, 56 |
| 3 | 125, 15, 65, 27, 56 |
| 5 | 125, 5, 65, 9, 56 |
| 25, 1, 13, 9, 56 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 25 x 1 x 13 x 9 x 56 = 44226000
Therefore, the lowest common multiple of 375,270,585,243,336 is 44226000.
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.
375 x 270 x 585 x 243 x 336 = 4836113100000
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.
375 : 1, 3, 5, 15, 25, 75, 125, 375
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
243 : 1, 3, 9, 27, 81, 243
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 375,270,585,243,336, is 3.
Now, the common factors can be found like this.
375:3x 5x 5x 5
270:2x 3x 3x 3x 5
585:3x 3x 5x 13
243:3x 3x 3x 3x 3
336:2x 2x 2x 2x 3x 7
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 3x 3x 3x 5x 5 = 36450
Therefore, the value for common factors is 36450.
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 = 4836113100000/(3x36450)
LCM = 4836113100000/109350
LCM = 44226000
Thus, we can understand that the LCM of 375,270,585,243,336 is 44226000.
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FAQs on LCM of 375, 270, 585, 243, 336
1. What is the LCM of 375, 270, 585, 243, 336?
Answer: LCM of 375, 270, 585, 243, 336 is 44226000.
2. How to calculate the LCM of 375, 270, 585, 243, 336?
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 375, 270, 585, 243, 336.
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}.