LCM of 361, 212, 985, 140, 515
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 361, 212, 985, 140, 515 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 361, 212, 985, 140, 515. So, keep reading to learn more.
Given numbers are 361,212,985,140,515
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,212,985,140,515 is 54351878420.
Find LCM of 361,212,985,140,515 with Prime Factorization
| 2 | 361, 212, 985, 140, 515 |
| 2 | 361, 106, 985, 70, 515 |
| 5 | 361, 53, 985, 35, 515 |
| 361, 53, 197, 7, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 361 x 53 x 197 x 7 x 103 = 54351878420
Therefore, the lowest common multiple of 361,212,985,140,515 is 54351878420.
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.
361 x 212 x 985 x 140 x 515 = 5435187842000
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.
361 : 1, 19, 361
212 : 1, 2, 4, 53, 106, 212
985 : 1, 5, 197, 985
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
515 : 1, 5, 103, 515
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,212,985,140,515, is 1.
Now, the common factors can be found like this.
361:19x 19
212:2x 2x 53
985:5x 197
140:2x 2x 5x 7
515:5x 103
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 5x 5 = 100
Therefore, the value for common factors is 100.
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 = 5435187842000/(1x100)
LCM = 5435187842000/100
LCM = 54351878420
Thus, we can understand that the LCM of 361,212,985,140,515 is 54351878420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 361, 212, 985, 140, 515
1. What is the LCM of 361, 212, 985, 140, 515?
Answer: LCM of 361, 212, 985, 140, 515 is 54351878420.
2. How to calculate the LCM of 361, 212, 985, 140, 515?
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 361, 212, 985, 140, 515.
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}.