LCM of 587, 374, 407, 418, 410
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 587, 374, 407, 418, 410 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, 374, 407, 418, 410. So, keep reading to learn more.
Given numbers are 587,374,407,418,410
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 587,374,407,418,410 is 31638718870.
Find LCM of 587,374,407,418,410 with Prime Factorization
| 2 | 587, 374, 407, 418, 410 |
| 11 | 587, 187, 407, 209, 205 |
| 587, 17, 37, 19, 205 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 587 x 17 x 37 x 19 x 205 = 31638718870
Therefore, the lowest common multiple of 587,374,407,418,410 is 31638718870.
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 374 x 407 x 418 x 410 = 15313139933080
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
374 : 1, 2, 11, 17, 22, 34, 187, 374
407 : 1, 11, 37, 407
418 : 1, 2, 11, 19, 22, 38, 209, 418
410 : 1, 2, 5, 10, 41, 82, 205, 410
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,374,407,418,410, is 1.
Now, the common factors can be found like this.
587:587
374:2x 11x 17
407:11x 37
418:2x 11x 19
410:2x 5x 41
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 11x 11 = 484
Therefore, the value for common factors is 484.
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 = 15313139933080/(1x484)
LCM = 15313139933080/484
LCM = 31638718870
Thus, we can understand that the LCM of 587,374,407,418,410 is 31638718870.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 587, 374, 407, 418, 410
1. What is the LCM of 587, 374, 407, 418, 410?
Answer: LCM of 587, 374, 407, 418, 410 is 31638718870.
2. How to calculate the LCM of 587, 374, 407, 418, 410?
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, 374, 407, 418, 410.
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}.