LCM of 410, 531, 620, 766, 135
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 410, 531, 620, 766, 135 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 410, 531, 620, 766, 135. So, keep reading to learn more.
Given numbers are 410,531,620,766,135
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 410,531,620,766,135 is 15509224980.
Find LCM of 410,531,620,766,135 with Prime Factorization
| 2 | 410, 531, 620, 766, 135 |
| 3 | 205, 531, 310, 383, 135 |
| 3 | 205, 177, 310, 383, 45 |
| 5 | 205, 59, 310, 383, 15 |
| 41, 59, 62, 383, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 41 x 59 x 62 x 383 x 3 = 15509224980
Therefore, the lowest common multiple of 410,531,620,766,135 is 15509224980.
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.
410 x 531 x 620 x 766 x 135 = 13958302482000
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.
410 : 1, 2, 5, 10, 41, 82, 205, 410
531 : 1, 3, 9, 59, 177, 531
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
766 : 1, 2, 383, 766
135 : 1, 3, 5, 9, 15, 27, 45, 135
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 410,531,620,766,135, is 1.
Now, the common factors can be found like this.
410:2x 5x 41
531:3x 3x 59
620:2x 2x 5x 31
766:2x 383
135:3x 3x 3x 5
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 3x 3x 5x 5 = 900
Therefore, the value for common factors is 900.
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 = 13958302482000/(1x900)
LCM = 13958302482000/900
LCM = 15509224980
Thus, we can understand that the LCM of 410,531,620,766,135 is 15509224980.
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FAQs on LCM of 410, 531, 620, 766, 135
1. What is the LCM of 410, 531, 620, 766, 135?
Answer: LCM of 410, 531, 620, 766, 135 is 15509224980.
2. How to calculate the LCM of 410, 531, 620, 766, 135?
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 410, 531, 620, 766, 135.
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}.