LCM of 962, 605, 657, 180, 943
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 605, 657, 180, 943 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, 605, 657, 180, 943. So, keep reading to learn more.
Given numbers are 962,605,657,180,943
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,605,657,180,943 is 721169755020.
Find LCM of 962,605,657,180,943 with Prime Factorization
| 2 | 962, 605, 657, 180, 943 |
| 3 | 481, 605, 657, 90, 943 |
| 3 | 481, 605, 219, 30, 943 |
| 5 | 481, 605, 73, 10, 943 |
| 481, 121, 73, 2, 943 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 481 x 121 x 73 x 2 x 943 = 721169755020
Therefore, the lowest common multiple of 962,605,657,180,943 is 721169755020.
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 605 x 657 x 180 x 943 = 64905277951800
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
605 : 1, 5, 11, 55, 121, 605
657 : 1, 3, 9, 73, 219, 657
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
943 : 1, 23, 41, 943
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,605,657,180,943, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
605:5x 11x 11
657:3x 3x 73
180:2x 2x 3x 3x 5
943:23x 41
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 3x 5 = 90
Therefore, the value for common factors is 90.
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 = 64905277951800/(1x90)
LCM = 64905277951800/90
LCM = 721169755020
Thus, we can understand that the LCM of 962,605,657,180,943 is 721169755020.
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FAQs on LCM of 962, 605, 657, 180, 943
1. What is the LCM of 962, 605, 657, 180, 943?
Answer: LCM of 962, 605, 657, 180, 943 is 721169755020.
2. How to calculate the LCM of 962, 605, 657, 180, 943?
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, 605, 657, 180, 943.
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}.