LCM of 540, 771, 595, 899, 446
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 540, 771, 595, 899, 446 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, 771, 595, 899, 446. So, keep reading to learn more.
Given numbers are 540,771,595,899,446
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 540,771,595,899,446 is 3310841569140.
Find LCM of 540,771,595,899,446 with Prime Factorization
| 2 | 540, 771, 595, 899, 446 |
| 3 | 270, 771, 595, 899, 223 |
| 5 | 90, 257, 595, 899, 223 |
| 18, 257, 119, 899, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 18 x 257 x 119 x 899 x 223 = 3310841569140
Therefore, the lowest common multiple of 540,771,595,899,446 is 3310841569140.
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 771 x 595 x 899 x 446 = 99325247074200
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
771 : 1, 3, 257, 771
595 : 1, 5, 7, 17, 35, 85, 119, 595
899 : 1, 29, 31, 899
446 : 1, 2, 223, 446
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,771,595,899,446, is 1.
Now, the common factors can be found like this.
540:2x 2x 3x 3x 3x 5
771:3x 257
595:5x 7x 17
899:29x 31
446:2x 223
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 5 = 30
Therefore, the value for common factors is 30.
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 = 99325247074200/(1x30)
LCM = 99325247074200/30
LCM = 3310841569140
Thus, we can understand that the LCM of 540,771,595,899,446 is 3310841569140.
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FAQs on LCM of 540, 771, 595, 899, 446
1. What is the LCM of 540, 771, 595, 899, 446?
Answer: LCM of 540, 771, 595, 899, 446 is 3310841569140.
2. How to calculate the LCM of 540, 771, 595, 899, 446?
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, 771, 595, 899, 446.
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}.