LCM of 962, 398, 212, 159, 577
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 398, 212, 159, 577 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 962, 398, 212, 159, 577. So, keep reading to learn more.
Given numbers are 962,398,212,159,577
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,398,212,159,577 is 35126192868.
Find LCM of 962,398,212,159,577 with Prime Factorization
| 2 | 962, 398, 212, 159, 577 |
| 53 | 481, 199, 106, 159, 577 |
| 481, 199, 2, 3, 577 |
Multiply the prime numbers at the bottom and the left side.
2 x 53 x 481 x 199 x 2 x 3 x 577 = 35126192868
Therefore, the lowest common multiple of 962,398,212,159,577 is 35126192868.
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.
962 x 398 x 212 x 159 x 577 = 7446752888016
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.
962 : 1, 2, 13, 26, 37, 74, 481, 962
398 : 1, 2, 199, 398
212 : 1, 2, 4, 53, 106, 212
159 : 1, 3, 53, 159
577 : 1, 577
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,398,212,159,577, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
398:2x 199
212:2x 2x 53
159:3x 53
577:577
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 53 = 212
Therefore, the value for common factors is 212.
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 = 7446752888016/(1x212)
LCM = 7446752888016/212
LCM = 35126192868
Thus, we can understand that the LCM of 962,398,212,159,577 is 35126192868.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 962, 398, 212, 159, 577
1. What is the LCM of 962, 398, 212, 159, 577?
Answer: LCM of 962, 398, 212, 159, 577 is 35126192868.
2. How to calculate the LCM of 962, 398, 212, 159, 577?
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 962, 398, 212, 159, 577.
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}.