LCM of 676, 552, 339, 171, 627
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 552, 339, 171, 627 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 676, 552, 339, 171, 627. So, keep reading to learn more.
Given numbers are 676,552,339,171,627
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,552,339,171,627 is 6609548088.
Find LCM of 676,552,339,171,627 with Prime Factorization
| 2 | 676, 552, 339, 171, 627 |
| 2 | 338, 276, 339, 171, 627 |
| 3 | 169, 138, 339, 171, 627 |
| 19 | 169, 46, 113, 57, 209 |
| 169, 46, 113, 3, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 169 x 46 x 113 x 3 x 11 = 6609548088
Therefore, the lowest common multiple of 676,552,339,171,627 is 6609548088.
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.
676 x 552 x 339 x 171 x 627 = 13562792676576
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
339 : 1, 3, 113, 339
171 : 1, 3, 9, 19, 57, 171
627 : 1, 3, 11, 19, 33, 57, 209, 627
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,552,339,171,627, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
552:2x 2x 2x 3x 23
339:3x 113
171:3x 3x 19
627:3x 11x 19
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 3x 3x 3x 19 = 2052
Therefore, the value for common factors is 2052.
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 = 13562792676576/(1x2052)
LCM = 13562792676576/2052
LCM = 6609548088
Thus, we can understand that the LCM of 676,552,339,171,627 is 6609548088.
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FAQs on LCM of 676, 552, 339, 171, 627
1. What is the LCM of 676, 552, 339, 171, 627?
Answer: LCM of 676, 552, 339, 171, 627 is 6609548088.
2. How to calculate the LCM of 676, 552, 339, 171, 627?
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 676, 552, 339, 171, 627.
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}.