LCM of 989, 962, 433, 546, 621
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 962, 433, 546, 621 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 989, 962, 433, 546, 621. So, keep reading to learn more.
Given numbers are 989,962,433,546,621
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,962,433,546,621 is 77861194866.
Find LCM of 989,962,433,546,621 with Prime Factorization
| 2 | 989, 962, 433, 546, 621 |
| 3 | 989, 481, 433, 273, 621 |
| 13 | 989, 481, 433, 91, 207 |
| 23 | 989, 37, 433, 7, 207 |
| 43, 37, 433, 7, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 23 x 43 x 37 x 433 x 7 x 9 = 77861194866
Therefore, the lowest common multiple of 989,962,433,546,621 is 77861194866.
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.
989 x 962 x 433 x 546 x 621 = 139682983589604
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.
989 : 1, 23, 43, 989
962 : 1, 2, 13, 26, 37, 74, 481, 962
433 : 1, 433
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
621 : 1, 3, 9, 23, 27, 69, 207, 621
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,962,433,546,621, is 1.
Now, the common factors can be found like this.
989:23x 43
962:2x 13x 37
433:433
546:2x 3x 7x 13
621:3x 3x 3x 23
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 13x 23 = 1794
Therefore, the value for common factors is 1794.
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 = 139682983589604/(1x1794)
LCM = 139682983589604/1794
LCM = 77861194866
Thus, we can understand that the LCM of 989,962,433,546,621 is 77861194866.
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FAQs on LCM of 989, 962, 433, 546, 621
1. What is the LCM of 989, 962, 433, 546, 621?
Answer: LCM of 989, 962, 433, 546, 621 is 77861194866.
2. How to calculate the LCM of 989, 962, 433, 546, 621?
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 989, 962, 433, 546, 621.
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}.