LCM of 880, 944, 565, 288, 607
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 880, 944, 565, 288, 607 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 880, 944, 565, 288, 607. So, keep reading to learn more.
Given numbers are 880,944,565,288,607
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 880,944,565,288,607 is 64102404960.
Find LCM of 880,944,565,288,607 with Prime Factorization
| 2 | 880, 944, 565, 288, 607 |
| 2 | 440, 472, 565, 144, 607 |
| 2 | 220, 236, 565, 72, 607 |
| 2 | 110, 118, 565, 36, 607 |
| 5 | 55, 59, 565, 18, 607 |
| 11, 59, 113, 18, 607 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 11 x 59 x 113 x 18 x 607 = 64102404960
Therefore, the lowest common multiple of 880,944,565,288,607 is 64102404960.
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.
880 x 944 x 565 x 288 x 607 = 82051078348800
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.
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
565 : 1, 5, 113, 565
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
607 : 1, 607
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,944,565,288,607, is 1.
Now, the common factors can be found like this.
880:2x 2x 2x 2x 5x 11
944:2x 2x 2x 2x 59
565:5x 113
288:2x 2x 2x 2x 2x 3x 3
607:607
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 2x 2x 5 = 1280
Therefore, the value for common factors is 1280.
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 = 82051078348800/(1x1280)
LCM = 82051078348800/1280
LCM = 64102404960
Thus, we can understand that the LCM of 880,944,565,288,607 is 64102404960.
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FAQs on LCM of 880, 944, 565, 288, 607
1. What is the LCM of 880, 944, 565, 288, 607?
Answer: LCM of 880, 944, 565, 288, 607 is 64102404960.
2. How to calculate the LCM of 880, 944, 565, 288, 607?
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 880, 944, 565, 288, 607.
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}.