LCM of 721, 927, 907, 540
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 927, 907, 540 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 721, 927, 907, 540. So, keep reading to learn more.
Given numbers are 721,927,907,540
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,927,907,540 is 353131380.
Find LCM of 721,927,907,540 with Prime Factorization
| 3 | 721, 927, 907, 540 |
| 3 | 721, 309, 907, 180 |
| 103 | 721, 103, 907, 60 |
| 7, 1, 907, 60 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 103 x 7 x 1 x 907 x 60 = 353131380
Therefore, the lowest common multiple of 721,927,907,540 is 353131380.
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.
721 x 927 x 907 x 540 = 327352789260
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.
721 : 1, 7, 103, 721
927 : 1, 3, 9, 103, 309, 927
907 : 1, 907
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,927,907,540, is 1.
Now, the common factors can be found like this.
721:7x 103
927:3x 3x 103
907:907
540:2x 2x 3x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 103 = 927
Therefore, the value for common factors is 927.
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 = 327352789260/(1x927)
LCM = 327352789260/927
LCM = 353131380
Thus, we can understand that the LCM of 721,927,907,540 is 353131380.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 721, 927, 907, 540
1. What is the LCM of 721, 927, 907, 540?
Answer: LCM of 721, 927, 907, 540 is 353131380.
2. How to calculate the LCM of 721, 927, 907, 540?
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 721, 927, 907, 540.
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}.