LCM of 552, 953, 682, 869, 160
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 552, 953, 682, 869, 160 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, 953, 682, 869, 160. So, keep reading to learn more.
Given numbers are 552,953,682,869,160
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 552,953,682,869,160 is 283428451680.
Find LCM of 552,953,682,869,160 with Prime Factorization
| 2 | 552, 953, 682, 869, 160 |
| 2 | 276, 953, 341, 869, 80 |
| 2 | 138, 953, 341, 869, 40 |
| 11 | 69, 953, 341, 869, 20 |
| 69, 953, 31, 79, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 69 x 953 x 31 x 79 x 20 = 283428451680
Therefore, the lowest common multiple of 552,953,682,869,160 is 283428451680.
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 953 x 682 x 869 x 160 = 49883407495680
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
953 : 1, 953
682 : 1, 2, 11, 22, 31, 62, 341, 682
869 : 1, 11, 79, 869
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,953,682,869,160, is 1.
Now, the common factors can be found like this.
552:2x 2x 2x 3x 23
953:953
682:2x 11x 31
869:11x 79
160:2x 2x 2x 2x 2x 5
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 11 = 176
Therefore, the value for common factors is 176.
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 = 49883407495680/(1x176)
LCM = 49883407495680/176
LCM = 283428451680
Thus, we can understand that the LCM of 552,953,682,869,160 is 283428451680.
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FAQs on LCM of 552, 953, 682, 869, 160
1. What is the LCM of 552, 953, 682, 869, 160?
Answer: LCM of 552, 953, 682, 869, 160 is 283428451680.
2. How to calculate the LCM of 552, 953, 682, 869, 160?
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, 953, 682, 869, 160.
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}.