LCM of 383, 110, 570, 610, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 383, 110, 570, 610, 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 383, 110, 570, 610, 420. So, keep reading to learn more.
Given numbers are 383,110,570,610,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 383,110,570,610,420 is 2050804140.
Find LCM of 383,110,570,610,420 with Prime Factorization
| 2 | 383, 110, 570, 610, 420 |
| 3 | 383, 55, 285, 305, 210 |
| 5 | 383, 55, 95, 305, 70 |
| 383, 11, 19, 61, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 383 x 11 x 19 x 61 x 14 = 2050804140
Therefore, the lowest common multiple of 383,110,570,610,420 is 2050804140.
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.
383 x 110 x 570 x 610 x 420 = 6152412420000
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.
383 : 1, 383
110 : 1, 2, 5, 10, 11, 22, 55, 110
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
610 : 1, 2, 5, 10, 61, 122, 305, 610
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 383,110,570,610,420, is 1.
Now, the common factors can be found like this.
383:383
110:2x 5x 11
570:2x 3x 5x 19
610:2x 5x 61
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 5x 5x 5 = 3000
Therefore, the value for common factors is 3000.
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 = 6152412420000/(1x3000)
LCM = 6152412420000/3000
LCM = 2050804140
Thus, we can understand that the LCM of 383,110,570,610,420 is 2050804140.
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FAQs on LCM of 383, 110, 570, 610, 420
1. What is the LCM of 383, 110, 570, 610, 420?
Answer: LCM of 383, 110, 570, 610, 420 is 2050804140.
2. How to calculate the LCM of 383, 110, 570, 610, 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 383, 110, 570, 610, 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}.