LCM of 972, 686, 889, 280, 424
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 972, 686, 889, 280, 424 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, 686, 889, 280, 424. So, keep reading to learn more.
Given numbers are 972,686,889,280,424
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,686,889,280,424 is 22440884760.
Find LCM of 972,686,889,280,424 with Prime Factorization
| 2 | 972, 686, 889, 280, 424 |
| 2 | 486, 343, 889, 140, 212 |
| 2 | 243, 343, 889, 70, 106 |
| 7 | 243, 343, 889, 35, 53 |
| 243, 49, 127, 5, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 243 x 49 x 127 x 5 x 53 = 22440884760
Therefore, the lowest common multiple of 972,686,889,280,424 is 22440884760.
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 686 x 889 x 280 x 424 = 70374614607360
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
686 : 1, 2, 7, 14, 49, 98, 343, 686
889 : 1, 7, 127, 889
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
424 : 1, 2, 4, 8, 53, 106, 212, 424
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,686,889,280,424, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
686:2x 7x 7x 7
889:7x 127
280:2x 2x 2x 5x 7
424:2x 2x 2x 53
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 2x 2x 7x 7 = 3136
Therefore, the value for common factors is 3136.
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 = 70374614607360/(1x3136)
LCM = 70374614607360/3136
LCM = 22440884760
Thus, we can understand that the LCM of 972,686,889,280,424 is 22440884760.
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FAQs on LCM of 972, 686, 889, 280, 424
1. What is the LCM of 972, 686, 889, 280, 424?
Answer: LCM of 972, 686, 889, 280, 424 is 22440884760.
2. How to calculate the LCM of 972, 686, 889, 280, 424?
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, 686, 889, 280, 424.
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}.