LCM of 551, 675, 783, 281
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 551, 675, 783, 281 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 551, 675, 783, 281. So, keep reading to learn more.
Given numbers are 551,675,783,281
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 551,675,783,281 is 104510925.
Find LCM of 551,675,783,281 with Prime Factorization
| 3 | 551, 675, 783, 281 |
| 3 | 551, 225, 261, 281 |
| 3 | 551, 75, 87, 281 |
| 29 | 551, 25, 29, 281 |
| 19, 25, 1, 281 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 29 x 19 x 25 x 1 x 281 = 104510925
Therefore, the lowest common multiple of 551,675,783,281 is 104510925.
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.
551 x 675 x 783 x 281 = 81832054275
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.
551 : 1, 19, 29, 551
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
783 : 1, 3, 9, 27, 29, 87, 261, 783
281 : 1, 281
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,675,783,281, is 1.
Now, the common factors can be found like this.
551:19x 29
675:3x 3x 3x 5x 5
783:3x 3x 3x 29
281:281
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 29 = 783
Therefore, the value for common factors is 783.
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 = 81832054275/(1x783)
LCM = 81832054275/783
LCM = 104510925
Thus, we can understand that the LCM of 551,675,783,281 is 104510925.
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FAQs on LCM of 551, 675, 783, 281
1. What is the LCM of 551, 675, 783, 281?
Answer: LCM of 551, 675, 783, 281 is 104510925.
2. How to calculate the LCM of 551, 675, 783, 281?
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 551, 675, 783, 281.
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}.