LCM of 540, 417, 280, 748, 824
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 540, 417, 280, 748, 824 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, 417, 280, 748, 824. So, keep reading to learn more.
Given numbers are 540,417,280,748,824
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 540,417,280,748,824 is 20240229240.
Find LCM of 540,417,280,748,824 with Prime Factorization
| 2 | 540, 417, 280, 748, 824 |
| 2 | 270, 417, 140, 374, 412 |
| 2 | 135, 417, 70, 187, 206 |
| 3 | 135, 417, 35, 187, 103 |
| 5 | 45, 139, 35, 187, 103 |
| 9, 139, 7, 187, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 9 x 139 x 7 x 187 x 103 = 20240229240
Therefore, the lowest common multiple of 540,417,280,748,824 is 20240229240.
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 417 x 280 x 748 x 824 = 38861240140800
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
417 : 1, 3, 139, 417
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
824 : 1, 2, 4, 8, 103, 206, 412, 824
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,417,280,748,824, is 1.
Now, the common factors can be found like this.
540:2x 2x 3x 3x 3x 5
417:3x 139
280:2x 2x 2x 5x 7
748:2x 2x 11x 17
824:2x 2x 2x 103
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 5 = 1920
Therefore, the value for common factors is 1920.
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 = 38861240140800/(1x1920)
LCM = 38861240140800/1920
LCM = 20240229240
Thus, we can understand that the LCM of 540,417,280,748,824 is 20240229240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 540, 417, 280, 748, 824
1. What is the LCM of 540, 417, 280, 748, 824?
Answer: LCM of 540, 417, 280, 748, 824 is 20240229240.
2. How to calculate the LCM of 540, 417, 280, 748, 824?
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, 417, 280, 748, 824.
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}.