LCM of 290, 714, 351, 170, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 290, 714, 351, 170, 420 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 290, 714, 351, 170, 420. So, keep reading to learn more.
Given numbers are 290,714,351,170,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 290,714,351,170,420 is 24226020.
Find LCM of 290,714,351,170,420 with Prime Factorization
| 2 | 290, 714, 351, 170, 420 |
| 3 | 145, 357, 351, 85, 210 |
| 5 | 145, 119, 117, 85, 70 |
| 7 | 29, 119, 117, 17, 14 |
| 17 | 29, 17, 117, 17, 2 |
| 29, 1, 117, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 17 x 29 x 1 x 117 x 1 x 2 = 24226020
Therefore, the lowest common multiple of 290,714,351,170,420 is 24226020.
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.
290 x 714 x 351 x 170 x 420 = 5189213484000
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.
290 : 1, 2, 5, 10, 29, 58, 145, 290
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
351 : 1, 3, 9, 13, 27, 39, 117, 351
170 : 1, 2, 5, 10, 17, 34, 85, 170
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,714,351,170,420, is 1.
Now, the common factors can be found like this.
290:2x 5x 29
714:2x 3x 7x 17
351:3x 3x 3x 13
170:2x 5x 17
420:2x 2x 3x 5x 7
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 2x 3x 3x 5x 5x 7x 17 = 214200
Therefore, the value for common factors is 214200.
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 = 5189213484000/(1x214200)
LCM = 5189213484000/214200
LCM = 24226020
Thus, we can understand that the LCM of 290,714,351,170,420 is 24226020.
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FAQs on LCM of 290, 714, 351, 170, 420
1. What is the LCM of 290, 714, 351, 170, 420?
Answer: LCM of 290, 714, 351, 170, 420 is 24226020.
2. How to calculate the LCM of 290, 714, 351, 170, 420?
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 290, 714, 351, 170, 420.
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}.