LCM of 570, 550, 273, 341, 145
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 570, 550, 273, 341, 145 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 570, 550, 273, 341, 145. So, keep reading to learn more.
Given numbers are 570,550,273,341,145
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 570,550,273,341,145 is 2564712150.
Find LCM of 570,550,273,341,145 with Prime Factorization
| 2 | 570, 550, 273, 341, 145 |
| 3 | 285, 275, 273, 341, 145 |
| 5 | 95, 275, 91, 341, 145 |
| 11 | 19, 55, 91, 341, 29 |
| 19, 5, 91, 31, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 19 x 5 x 91 x 31 x 29 = 2564712150
Therefore, the lowest common multiple of 570,550,273,341,145 is 2564712150.
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.
570 x 550 x 273 x 341 x 145 = 4231775047500
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.
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
273 : 1, 3, 7, 13, 21, 39, 91, 273
341 : 1, 11, 31, 341
145 : 1, 5, 29, 145
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,550,273,341,145, is 1.
Now, the common factors can be found like this.
570:2x 3x 5x 19
550:2x 5x 5x 11
273:3x 7x 13
341:11x 31
145:5x 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 3x 5x 5x 11 = 1650
Therefore, the value for common factors is 1650.
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 = 4231775047500/(1x1650)
LCM = 4231775047500/1650
LCM = 2564712150
Thus, we can understand that the LCM of 570,550,273,341,145 is 2564712150.
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FAQs on LCM of 570, 550, 273, 341, 145
1. What is the LCM of 570, 550, 273, 341, 145?
Answer: LCM of 570, 550, 273, 341, 145 is 2564712150.
2. How to calculate the LCM of 570, 550, 273, 341, 145?
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 570, 550, 273, 341, 145.
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}.