LCM of 855, 902, 649, 502, 505
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 855, 902, 649, 502, 505 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 855, 902, 649, 502, 505. So, keep reading to learn more.
Given numbers are 855,902,649,502,505
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,902,649,502,505 is 1153505737890.
Find LCM of 855,902,649,502,505 with Prime Factorization
| 2 | 855, 902, 649, 502, 505 |
| 5 | 855, 451, 649, 251, 505 |
| 11 | 171, 451, 649, 251, 101 |
| 171, 41, 59, 251, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 171 x 41 x 59 x 251 x 101 = 1153505737890
Therefore, the lowest common multiple of 855,902,649,502,505 is 1153505737890.
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.
855 x 902 x 649 x 502 x 505 = 126885631167900
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.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
902 : 1, 2, 11, 22, 41, 82, 451, 902
649 : 1, 11, 59, 649
502 : 1, 2, 251, 502
505 : 1, 5, 101, 505
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,902,649,502,505, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
902:2x 11x 41
649:11x 59
502:2x 251
505:5x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11 = 110
Therefore, the value for common factors is 110.
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 = 126885631167900/(1x110)
LCM = 126885631167900/110
LCM = 1153505737890
Thus, we can understand that the LCM of 855,902,649,502,505 is 1153505737890.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 855, 902, 649, 502, 505
1. What is the LCM of 855, 902, 649, 502, 505?
Answer: LCM of 855, 902, 649, 502, 505 is 1153505737890.
2. How to calculate the LCM of 855, 902, 649, 502, 505?
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 855, 902, 649, 502, 505.
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}.