LCM of 587, 508, 420, 575, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 587, 508, 420, 575, 214 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 587, 508, 420, 575, 214. So, keep reading to learn more.
Given numbers are 587,508,420,575,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 587,508,420,575,214 is 385276686900.
Find LCM of 587,508,420,575,214 with Prime Factorization
| 2 | 587, 508, 420, 575, 214 |
| 2 | 587, 254, 210, 575, 107 |
| 5 | 587, 127, 105, 575, 107 |
| 587, 127, 21, 115, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 587 x 127 x 21 x 115 x 107 = 385276686900
Therefore, the lowest common multiple of 587,508,420,575,214 is 385276686900.
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.
587 x 508 x 420 x 575 x 214 = 15411067476000
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.
587 : 1, 587
508 : 1, 2, 4, 127, 254, 508
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
575 : 1, 5, 23, 25, 115, 575
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,508,420,575,214, is 1.
Now, the common factors can be found like this.
587:587
508:2x 2x 127
420:2x 2x 3x 5x 7
575:5x 5x 23
214:2x 107
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 5 = 40
Therefore, the value for common factors is 40.
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 = 15411067476000/(1x40)
LCM = 15411067476000/40
LCM = 385276686900
Thus, we can understand that the LCM of 587,508,420,575,214 is 385276686900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 587, 508, 420, 575, 214
1. What is the LCM of 587, 508, 420, 575, 214?
Answer: LCM of 587, 508, 420, 575, 214 is 385276686900.
2. How to calculate the LCM of 587, 508, 420, 575, 214?
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 587, 508, 420, 575, 214.
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}.