LCM of 962, 301, 988, 933, 147
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 301, 988, 933, 147 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, 301, 988, 933, 147. So, keep reading to learn more.
Given numbers are 962,301,988,933,147
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,301,988,933,147 is 71862918036.
Find LCM of 962,301,988,933,147 with Prime Factorization
| 2 | 962, 301, 988, 933, 147 |
| 3 | 481, 301, 494, 933, 147 |
| 7 | 481, 301, 494, 311, 49 |
| 13 | 481, 43, 494, 311, 7 |
| 37, 43, 38, 311, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 37 x 43 x 38 x 311 x 7 = 71862918036
Therefore, the lowest common multiple of 962,301,988,933,147 is 71862918036.
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 301 x 988 x 933 x 147 = 39237153247656
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
301 : 1, 7, 43, 301
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
933 : 1, 3, 311, 933
147 : 1, 3, 7, 21, 49, 147
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,301,988,933,147, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
301:7x 43
988:2x 2x 13x 19
933:3x 311
147:3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 13 = 546
Therefore, the value for common factors is 546.
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 = 39237153247656/(1x546)
LCM = 39237153247656/546
LCM = 71862918036
Thus, we can understand that the LCM of 962,301,988,933,147 is 71862918036.
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FAQs on LCM of 962, 301, 988, 933, 147
1. What is the LCM of 962, 301, 988, 933, 147?
Answer: LCM of 962, 301, 988, 933, 147 is 71862918036.
2. How to calculate the LCM of 962, 301, 988, 933, 147?
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, 301, 988, 933, 147.
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}.