LCM of 972, 143, 792, 781, 989
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 972, 143, 792, 781, 989 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 972, 143, 792, 781, 989. So, keep reading to learn more.
Given numbers are 972,143,792,781,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,143,792,781,989 is 19520320248.
Find LCM of 972,143,792,781,989 with Prime Factorization
| 2 | 972, 143, 792, 781, 989 |
| 2 | 486, 143, 396, 781, 989 |
| 3 | 243, 143, 198, 781, 989 |
| 3 | 81, 143, 66, 781, 989 |
| 11 | 27, 143, 22, 781, 989 |
| 27, 13, 2, 71, 989 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 27 x 13 x 2 x 71 x 989 = 19520320248
Therefore, the lowest common multiple of 972,143,792,781,989 is 19520320248.
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.
972 x 143 x 792 x 781 x 989 = 85030515000288
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
143 : 1, 11, 13, 143
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
781 : 1, 11, 71, 781
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,143,792,781,989, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
143:11x 13
792:2x 2x 2x 3x 3x 11
781:11x 71
989:23x 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 3x 3x 11x 11 = 4356
Therefore, the value for common factors is 4356.
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 = 85030515000288/(1x4356)
LCM = 85030515000288/4356
LCM = 19520320248
Thus, we can understand that the LCM of 972,143,792,781,989 is 19520320248.
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FAQs on LCM of 972, 143, 792, 781, 989
1. What is the LCM of 972, 143, 792, 781, 989?
Answer: LCM of 972, 143, 792, 781, 989 is 19520320248.
2. How to calculate the LCM of 972, 143, 792, 781, 989?
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 972, 143, 792, 781, 989.
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}.