LCM of 553, 786, 959, 741, 208
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 553, 786, 959, 741, 208 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 553, 786, 959, 741, 208. So, keep reading to learn more.
Given numbers are 553,786,959,741,208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 553,786,959,741,208 is 117667136496.
Find LCM of 553,786,959,741,208 with Prime Factorization
| 2 | 553, 786, 959, 741, 208 |
| 3 | 553, 393, 959, 741, 104 |
| 7 | 553, 131, 959, 247, 104 |
| 13 | 79, 131, 137, 247, 104 |
| 79, 131, 137, 19, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 79 x 131 x 137 x 19 x 8 = 117667136496
Therefore, the lowest common multiple of 553,786,959,741,208 is 117667136496.
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.
553 x 786 x 959 x 741 x 208 = 64246256526816
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.
553 : 1, 7, 79, 553
786 : 1, 2, 3, 6, 131, 262, 393, 786
959 : 1, 7, 137, 959
741 : 1, 3, 13, 19, 39, 57, 247, 741
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,786,959,741,208, is 1.
Now, the common factors can be found like this.
553:7x 79
786:2x 3x 131
959:7x 137
741:3x 13x 19
208:2x 2x 2x 2x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 13 = 546
Therefore, the value for common factors is 546.
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 = 64246256526816/(1x546)
LCM = 64246256526816/546
LCM = 117667136496
Thus, we can understand that the LCM of 553,786,959,741,208 is 117667136496.
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FAQs on LCM of 553, 786, 959, 741, 208
1. What is the LCM of 553, 786, 959, 741, 208?
Answer: LCM of 553, 786, 959, 741, 208 is 117667136496.
2. How to calculate the LCM of 553, 786, 959, 741, 208?
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 553, 786, 959, 741, 208.
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}.