LCM of 181, 507, 108, 220, 962
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 181, 507, 108, 220, 962 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 181, 507, 108, 220, 962. So, keep reading to learn more.
Given numbers are 181,507,108,220,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 181,507,108,220,962 is 6722850420.
Find LCM of 181,507,108,220,962 with Prime Factorization
| 2 | 181, 507, 108, 220, 962 |
| 2 | 181, 507, 54, 110, 481 |
| 3 | 181, 507, 27, 55, 481 |
| 13 | 181, 169, 9, 55, 481 |
| 181, 13, 9, 55, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 181 x 13 x 9 x 55 x 37 = 6722850420
Therefore, the lowest common multiple of 181,507,108,220,962 is 6722850420.
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.
181 x 507 x 108 x 220 x 962 = 2097529331040
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.
181 : 1, 181
507 : 1, 3, 13, 39, 169, 507
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 181,507,108,220,962, is 1.
Now, the common factors can be found like this.
181:181
507:3x 13x 13
108:2x 2x 3x 3x 3
220:2x 2x 5x 11
962:2x 13x 37
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 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 2097529331040/(1x312)
LCM = 2097529331040/312
LCM = 6722850420
Thus, we can understand that the LCM of 181,507,108,220,962 is 6722850420.
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FAQs on LCM of 181, 507, 108, 220, 962
1. What is the LCM of 181, 507, 108, 220, 962?
Answer: LCM of 181, 507, 108, 220, 962 is 6722850420.
2. How to calculate the LCM of 181, 507, 108, 220, 962?
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 181, 507, 108, 220, 962.
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}.