LCM of 676, 234, 378, 568
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 234, 378, 568 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, 234, 378, 568. So, keep reading to learn more.
Given numbers are 676,234,378,568
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,234,378,568 is 18142488.
Find LCM of 676,234,378,568 with Prime Factorization
| 2 | 676, 234, 378, 568 |
| 2 | 338, 117, 189, 284 |
| 3 | 169, 117, 189, 142 |
| 3 | 169, 39, 63, 142 |
| 13 | 169, 13, 21, 142 |
| 1, 13, 21, 142 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 1 x 13 x 21 x 142 = 18142488
Therefore, the lowest common multiple of 676,234,378,568 is 18142488.
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 234 x 378 x 568 = 33962737536
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
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
568 : 1, 2, 4, 8, 71, 142, 284, 568
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,234,378,568, is 2.
Now, the common factors can be found like this.
676:2x 2x 13x 13
234:2x 3x 3x 13
378:2x 3x 3x 3x 7
568:2x 2x 2x 71
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 3x 3x 13 = 936
Therefore, the value for common factors is 936.
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 = 33962737536/(2x936)
LCM = 33962737536/1872
LCM = 18142488
Thus, we can understand that the LCM of 676,234,378,568 is 18142488.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 676, 234, 378, 568
1. What is the LCM of 676, 234, 378, 568?
Answer: LCM of 676, 234, 378, 568 is 18142488.
2. How to calculate the LCM of 676, 234, 378, 568?
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, 234, 378, 568.
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}.