LCM of 989, 972, 434, 716, 774
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 972, 434, 716, 774 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, 972, 434, 716, 774. So, keep reading to learn more.
Given numbers are 989,972,434,716,774
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,972,434,716,774 is 37340086644.
Find LCM of 989,972,434,716,774 with Prime Factorization
| 2 | 989, 972, 434, 716, 774 |
| 2 | 989, 486, 217, 358, 387 |
| 3 | 989, 243, 217, 179, 387 |
| 3 | 989, 81, 217, 179, 129 |
| 43 | 989, 27, 217, 179, 43 |
| 23, 27, 217, 179, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 43 x 23 x 27 x 217 x 179 x 1 = 37340086644
Therefore, the lowest common multiple of 989,972,434,716,774 is 37340086644.
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 972 x 434 x 716 x 774 = 231209816499648
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
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
434 : 1, 2, 7, 14, 31, 62, 217, 434
716 : 1, 2, 4, 179, 358, 716
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,972,434,716,774, is 1.
Now, the common factors can be found like this.
989:23x 43
972:2x 2x 3x 3x 3x 3x 3
434:2x 7x 31
716:2x 2x 179
774:2x 3x 3x 43
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 2x 2x 3x 3x 43 = 6192
Therefore, the value for common factors is 6192.
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 = 231209816499648/(1x6192)
LCM = 231209816499648/6192
LCM = 37340086644
Thus, we can understand that the LCM of 989,972,434,716,774 is 37340086644.
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FAQs on LCM of 989, 972, 434, 716, 774
1. What is the LCM of 989, 972, 434, 716, 774?
Answer: LCM of 989, 972, 434, 716, 774 is 37340086644.
2. How to calculate the LCM of 989, 972, 434, 716, 774?
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, 972, 434, 716, 774.
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}.