LCM of 553, 306, 663, 337, 553
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 553, 306, 663, 337, 553 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, 306, 663, 337, 553. So, keep reading to learn more.
Given numbers are 553,306,663,337,553
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 553,306,663,337,553 is 741344058.
Find LCM of 553,306,663,337,553 with Prime Factorization
| 3 | 553, 306, 663, 337, 553 |
| 7 | 553, 102, 221, 337, 553 |
| 17 | 79, 102, 221, 337, 79 |
| 79 | 79, 6, 13, 337, 79 |
| 1, 6, 13, 337, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 17 x 79 x 1 x 6 x 13 x 337 x 1 = 741344058
Therefore, the lowest common multiple of 553,306,663,337,553 is 741344058.
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 306 x 663 x 337 x 553 = 20908126467774
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
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
663 : 1, 3, 13, 17, 39, 51, 221, 663
337 : 1, 337
553 : 1, 7, 79, 553
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,306,663,337,553, is 1.
Now, the common factors can be found like this.
553:7x 79
306:2x 3x 3x 17
663:3x 13x 17
337:337
553:7x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 17x 79 = 28203
Therefore, the value for common factors is 28203.
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 = 20908126467774/(1x28203)
LCM = 20908126467774/28203
LCM = 741344058
Thus, we can understand that the LCM of 553,306,663,337,553 is 741344058.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 553, 306, 663, 337, 553
1. What is the LCM of 553, 306, 663, 337, 553?
Answer: LCM of 553, 306, 663, 337, 553 is 741344058.
2. How to calculate the LCM of 553, 306, 663, 337, 553?
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, 306, 663, 337, 553.
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}.