LCM of 427, 689, 976, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 427, 689, 976, 144 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 427, 689, 976, 144. So, keep reading to learn more.
Given numbers are 427,689,976,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 427,689,976,144 is 42365232.
Find LCM of 427,689,976,144 with Prime Factorization
| 2 | 427, 689, 976, 144 |
| 2 | 427, 689, 488, 72 |
| 2 | 427, 689, 244, 36 |
| 2 | 427, 689, 122, 18 |
| 61 | 427, 689, 61, 9 |
| 7, 689, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 61 x 7 x 689 x 1 x 9 = 42365232
Therefore, the lowest common multiple of 427,689,976,144 is 42365232.
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.
427 x 689 x 976 x 144 = 41348466432
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.
427 : 1, 7, 61, 427
689 : 1, 13, 53, 689
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,689,976,144, is 1.
Now, the common factors can be found like this.
427:7x 61
689:13x 53
976:2x 2x 2x 2x 61
144:2x 2x 2x 2x 3x 3
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 61 = 976
Therefore, the value for common factors is 976.
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 = 41348466432/(1x976)
LCM = 41348466432/976
LCM = 42365232
Thus, we can understand that the LCM of 427,689,976,144 is 42365232.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 427, 689, 976, 144
1. What is the LCM of 427, 689, 976, 144?
Answer: LCM of 427, 689, 976, 144 is 42365232.
2. How to calculate the LCM of 427, 689, 976, 144?
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 427, 689, 976, 144.
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}.