LCM of 587, 526, 213, 214, 497
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 587, 526, 213, 214, 497 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, 526, 213, 214, 497. So, keep reading to learn more.
Given numbers are 587,526,213,214,497
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 587,526,213,214,497 is 49258963194.
Find LCM of 587,526,213,214,497 with Prime Factorization
| 2 | 587, 526, 213, 214, 497 |
| 71 | 587, 263, 213, 107, 497 |
| 587, 263, 3, 107, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 71 x 587 x 263 x 3 x 107 x 7 = 49258963194
Therefore, the lowest common multiple of 587,526,213,214,497 is 49258963194.
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 526 x 213 x 214 x 497 = 6994772773548
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
526 : 1, 2, 263, 526
213 : 1, 3, 71, 213
214 : 1, 2, 107, 214
497 : 1, 7, 71, 497
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,526,213,214,497, is 1.
Now, the common factors can be found like this.
587:587
526:2x 263
213:3x 71
214:2x 107
497:7x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 71 = 142
Therefore, the value for common factors is 142.
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 = 6994772773548/(1x142)
LCM = 6994772773548/142
LCM = 49258963194
Thus, we can understand that the LCM of 587,526,213,214,497 is 49258963194.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 587, 526, 213, 214, 497
1. What is the LCM of 587, 526, 213, 214, 497?
Answer: LCM of 587, 526, 213, 214, 497 is 49258963194.
2. How to calculate the LCM of 587, 526, 213, 214, 497?
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, 526, 213, 214, 497.
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}.