LCM of 348, 721, 511, 450, 146
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 348, 721, 511, 450, 146 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 348, 721, 511, 450, 146. So, keep reading to learn more.
Given numbers are 348,721,511,450,146
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 348,721,511,450,146 is 1373721300.
Find LCM of 348,721,511,450,146 with Prime Factorization
| 2 | 348, 721, 511, 450, 146 |
| 3 | 174, 721, 511, 225, 73 |
| 7 | 58, 721, 511, 75, 73 |
| 73 | 58, 103, 73, 75, 73 |
| 58, 103, 1, 75, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 73 x 58 x 103 x 1 x 75 x 1 = 1373721300
Therefore, the lowest common multiple of 348,721,511,450,146 is 1373721300.
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.
348 x 721 x 511 x 450 x 146 = 8423659011600
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.
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
721 : 1, 7, 103, 721
511 : 1, 7, 73, 511
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
146 : 1, 2, 73, 146
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,721,511,450,146, is 1.
Now, the common factors can be found like this.
348:2x 2x 3x 29
721:7x 103
511:7x 73
450:2x 3x 3x 5x 5
146:2x 73
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 3x 7x 73 = 6132
Therefore, the value for common factors is 6132.
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 = 8423659011600/(1x6132)
LCM = 8423659011600/6132
LCM = 1373721300
Thus, we can understand that the LCM of 348,721,511,450,146 is 1373721300.
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FAQs on LCM of 348, 721, 511, 450, 146
1. What is the LCM of 348, 721, 511, 450, 146?
Answer: LCM of 348, 721, 511, 450, 146 is 1373721300.
2. How to calculate the LCM of 348, 721, 511, 450, 146?
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 348, 721, 511, 450, 146.
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}.