LCM of 671, 108, 682, 375, 756
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 108, 682, 375, 756 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 671, 108, 682, 375, 756. So, keep reading to learn more.
Given numbers are 671,108,682,375,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,108,682,375,756 is 1965694500.
Find LCM of 671,108,682,375,756 with Prime Factorization
| 2 | 671, 108, 682, 375, 756 |
| 2 | 671, 54, 341, 375, 378 |
| 3 | 671, 27, 341, 375, 189 |
| 3 | 671, 9, 341, 125, 63 |
| 3 | 671, 3, 341, 125, 21 |
| 11 | 671, 1, 341, 125, 7 |
| 61, 1, 31, 125, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 11 x 61 x 1 x 31 x 125 x 7 = 1965694500
Therefore, the lowest common multiple of 671,108,682,375,756 is 1965694500.
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.
671 x 108 x 682 x 375 x 756 = 14011470396000
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.
671 : 1, 11, 61, 671
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
682 : 1, 2, 11, 22, 31, 62, 341, 682
375 : 1, 3, 5, 15, 25, 75, 125, 375
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,108,682,375,756, is 1.
Now, the common factors can be found like this.
671:11x 61
108:2x 2x 3x 3x 3
682:2x 11x 31
375:3x 5x 5x 5
756:2x 2x 3x 3x 3x 7
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 3x 3x 11 = 7128
Therefore, the value for common factors is 7128.
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 = 14011470396000/(1x7128)
LCM = 14011470396000/7128
LCM = 1965694500
Thus, we can understand that the LCM of 671,108,682,375,756 is 1965694500.
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FAQs on LCM of 671, 108, 682, 375, 756
1. What is the LCM of 671, 108, 682, 375, 756?
Answer: LCM of 671, 108, 682, 375, 756 is 1965694500.
2. How to calculate the LCM of 671, 108, 682, 375, 756?
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 671, 108, 682, 375, 756.
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}.