LCM of 673, 352, 378, 642, 517
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 673, 352, 378, 642, 517 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 673, 352, 378, 642, 517. So, keep reading to learn more.
Given numbers are 673,352,378,642,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 673,352,378,642,517 is 225165146976.
Find LCM of 673,352,378,642,517 with Prime Factorization
| 2 | 673, 352, 378, 642, 517 |
| 3 | 673, 176, 189, 321, 517 |
| 11 | 673, 176, 63, 107, 517 |
| 673, 16, 63, 107, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 673 x 16 x 63 x 107 x 47 = 225165146976
Therefore, the lowest common multiple of 673,352,378,642,517 is 225165146976.
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.
673 x 352 x 378 x 642 x 517 = 29721799400832
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.
673 : 1, 673
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
642 : 1, 2, 3, 6, 107, 214, 321, 642
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 673,352,378,642,517, is 1.
Now, the common factors can be found like this.
673:673
352:2x 2x 2x 2x 2x 11
378:2x 3x 3x 3x 7
642:2x 3x 107
517:11x 47
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 11 = 132
Therefore, the value for common factors is 132.
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 = 29721799400832/(1x132)
LCM = 29721799400832/132
LCM = 225165146976
Thus, we can understand that the LCM of 673,352,378,642,517 is 225165146976.
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FAQs on LCM of 673, 352, 378, 642, 517
1. What is the LCM of 673, 352, 378, 642, 517?
Answer: LCM of 673, 352, 378, 642, 517 is 225165146976.
2. How to calculate the LCM of 673, 352, 378, 642, 517?
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 673, 352, 378, 642, 517.
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}.