LCM of 552, 648, 261, 628
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 552, 648, 261, 628 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 552, 648, 261, 628. So, keep reading to learn more.
Given numbers are 552,648,261,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 552,648,261,628 is 67857912.
Find LCM of 552,648,261,628 with Prime Factorization
| 2 | 552, 648, 261, 628 |
| 2 | 276, 324, 261, 314 |
| 2 | 138, 162, 261, 157 |
| 3 | 69, 81, 261, 157 |
| 3 | 23, 27, 87, 157 |
| 23, 9, 29, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 23 x 9 x 29 x 157 = 67857912
Therefore, the lowest common multiple of 552,648,261,628 is 67857912.
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.
552 x 648 x 261 x 628 = 58629235968
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.
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
261 : 1, 3, 9, 29, 87, 261
628 : 1, 2, 4, 157, 314, 628
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,648,261,628, is 1.
Now, the common factors can be found like this.
552:2x 2x 2x 3x 23
648:2x 2x 2x 3x 3x 3x 3
261:3x 3x 29
628:2x 2x 157
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 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 58629235968/(1x864)
LCM = 58629235968/864
LCM = 67857912
Thus, we can understand that the LCM of 552,648,261,628 is 67857912.
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FAQs on LCM of 552, 648, 261, 628
1. What is the LCM of 552, 648, 261, 628?
Answer: LCM of 552, 648, 261, 628 is 67857912.
2. How to calculate the LCM of 552, 648, 261, 628?
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 552, 648, 261, 628.
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}.