LCM of 540, 342, 400, 880, 633
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 540, 342, 400, 880, 633 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 540, 342, 400, 880, 633. So, keep reading to learn more.
Given numbers are 540,342,400,880,633
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 540,342,400,880,633 is 476269200.
Find LCM of 540,342,400,880,633 with Prime Factorization
| 2 | 540, 342, 400, 880, 633 |
| 2 | 270, 171, 200, 440, 633 |
| 2 | 135, 171, 100, 220, 633 |
| 2 | 135, 171, 50, 110, 633 |
| 3 | 135, 171, 25, 55, 633 |
| 3 | 45, 57, 25, 55, 211 |
| 5 | 15, 19, 25, 55, 211 |
| 3, 19, 5, 11, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 5 x 3 x 19 x 5 x 11 x 211 = 476269200
Therefore, the lowest common multiple of 540,342,400,880,633 is 476269200.
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.
540 x 342 x 400 x 880 x 633 = 41149658880000
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.
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
633 : 1, 3, 211, 633
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,342,400,880,633, is 1.
Now, the common factors can be found like this.
540:2x 2x 3x 3x 3x 5
342:2x 3x 3x 19
400:2x 2x 2x 2x 5x 5
880:2x 2x 2x 2x 5x 11
633:3x 211
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 2x 3x 3x 3x 5x 5 = 86400
Therefore, the value for common factors is 86400.
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 = 41149658880000/(1x86400)
LCM = 41149658880000/86400
LCM = 476269200
Thus, we can understand that the LCM of 540,342,400,880,633 is 476269200.
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FAQs on LCM of 540, 342, 400, 880, 633
1. What is the LCM of 540, 342, 400, 880, 633?
Answer: LCM of 540, 342, 400, 880, 633 is 476269200.
2. How to calculate the LCM of 540, 342, 400, 880, 633?
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 540, 342, 400, 880, 633.
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}.