LCM of 107, 457, 681, 457, 705
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 107, 457, 681, 457, 705 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 107, 457, 681, 457, 705. So, keep reading to learn more.
Given numbers are 107,457,681,457,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,457,681,457,705 is 7825551465.
Find LCM of 107,457,681,457,705 with Prime Factorization
| 3 | 107, 457, 681, 457, 705 |
| 457 | 107, 457, 227, 457, 235 |
| 107, 1, 227, 1, 235 |
Multiply the prime numbers at the bottom and the left side.
3 x 457 x 107 x 1 x 227 x 1 x 235 = 7825551465
Therefore, the lowest common multiple of 107,457,681,457,705 is 7825551465.
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.
107 x 457 x 681 x 457 x 705 = 10728831058515
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.
107 : 1, 107
457 : 1, 457
681 : 1, 3, 227, 681
457 : 1, 457
705 : 1, 3, 5, 15, 47, 141, 235, 705
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,457,681,457,705, is 1.
Now, the common factors can be found like this.
107:107
457:457
681:3x 227
457:457
705:3x 5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 457 = 1371
Therefore, the value for common factors is 1371.
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 = 10728831058515/(1x1371)
LCM = 10728831058515/1371
LCM = 7825551465
Thus, we can understand that the LCM of 107,457,681,457,705 is 7825551465.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 107, 457, 681, 457, 705
1. What is the LCM of 107, 457, 681, 457, 705?
Answer: LCM of 107, 457, 681, 457, 705 is 7825551465.
2. How to calculate the LCM of 107, 457, 681, 457, 705?
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 107, 457, 681, 457, 705.
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}.