LCM of 552, 132, 644, 685, 959
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 552, 132, 644, 685, 959 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, 132, 644, 685, 959. So, keep reading to learn more.
Given numbers are 552,132,644,685,959
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 552,132,644,685,959 is 29115240.
Find LCM of 552,132,644,685,959 with Prime Factorization
| 2 | 552, 132, 644, 685, 959 |
| 2 | 276, 66, 322, 685, 959 |
| 3 | 138, 33, 161, 685, 959 |
| 7 | 46, 11, 161, 685, 959 |
| 23 | 46, 11, 23, 685, 137 |
| 137 | 2, 11, 1, 685, 137 |
| 2, 11, 1, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 23 x 137 x 2 x 11 x 1 x 5 x 1 = 29115240
Therefore, the lowest common multiple of 552,132,644,685,959 is 29115240.
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 132 x 644 x 685 x 959 = 30825352736640
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
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
685 : 1, 5, 137, 685
959 : 1, 7, 137, 959
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,132,644,685,959, is 1.
Now, the common factors can be found like this.
552:2x 2x 2x 3x 23
132:2x 2x 3x 11
644:2x 2x 7x 23
685:5x 137
959:7x 137
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 3x 7x 23x 137 = 1058736
Therefore, the value for common factors is 1058736.
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 = 30825352736640/(1x1058736)
LCM = 30825352736640/1058736
LCM = 29115240
Thus, we can understand that the LCM of 552,132,644,685,959 is 29115240.
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FAQs on LCM of 552, 132, 644, 685, 959
1. What is the LCM of 552, 132, 644, 685, 959?
Answer: LCM of 552, 132, 644, 685, 959 is 29115240.
2. How to calculate the LCM of 552, 132, 644, 685, 959?
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, 132, 644, 685, 959.
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}.