LCM of 103, 357, 721, 588, 580
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 103, 357, 721, 588, 580 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 103, 357, 721, 588, 580. So, keep reading to learn more.
Given numbers are 103,357,721,588,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 103,357,721,588,580 is 149290260.
Find LCM of 103,357,721,588,580 with Prime Factorization
| 2 | 103, 357, 721, 588, 580 |
| 2 | 103, 357, 721, 294, 290 |
| 3 | 103, 357, 721, 147, 145 |
| 7 | 103, 119, 721, 49, 145 |
| 103 | 103, 17, 103, 7, 145 |
| 1, 17, 1, 7, 145 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 103 x 1 x 17 x 1 x 7 x 145 = 149290260
Therefore, the lowest common multiple of 103,357,721,588,580 is 149290260.
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.
103 x 357 x 721 x 588 x 580 = 9041615306640
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.
103 : 1, 103
357 : 1, 3, 7, 17, 21, 51, 119, 357
721 : 1, 7, 103, 721
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,357,721,588,580, is 1.
Now, the common factors can be found like this.
103:103
357:3x 7x 17
721:7x 103
588:2x 2x 3x 7x 7
580:2x 2x 5x 29
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 7x 103 = 60564
Therefore, the value for common factors is 60564.
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 = 9041615306640/(1x60564)
LCM = 9041615306640/60564
LCM = 149290260
Thus, we can understand that the LCM of 103,357,721,588,580 is 149290260.
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FAQs on LCM of 103, 357, 721, 588, 580
1. What is the LCM of 103, 357, 721, 588, 580?
Answer: LCM of 103, 357, 721, 588, 580 is 149290260.
2. How to calculate the LCM of 103, 357, 721, 588, 580?
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 103, 357, 721, 588, 580.
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}.