LCM of 671, 168, 726, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 168, 726, 945 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, 168, 726, 945. So, keep reading to learn more.
Given numbers are 671,168,726,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,168,726,945 is 55800360.
Find LCM of 671,168,726,945 with Prime Factorization
| 2 | 671, 168, 726, 945 |
| 3 | 671, 84, 363, 945 |
| 7 | 671, 28, 121, 315 |
| 11 | 671, 4, 121, 45 |
| 61, 4, 11, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 61 x 4 x 11 x 45 = 55800360
Therefore, the lowest common multiple of 671,168,726,945 is 55800360.
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 168 x 726 x 945 = 77339298960
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
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,168,726,945, is 1.
Now, the common factors can be found like this.
671:11x 61
168:2x 2x 2x 3x 7
726:2x 3x 11x 11
945:3x 3x 3x 5x 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 3x 3x 7x 11 = 1386
Therefore, the value for common factors is 1386.
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 = 77339298960/(1x1386)
LCM = 77339298960/1386
LCM = 55800360
Thus, we can understand that the LCM of 671,168,726,945 is 55800360.
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FAQs on LCM of 671, 168, 726, 945
1. What is the LCM of 671, 168, 726, 945?
Answer: LCM of 671, 168, 726, 945 is 55800360.
2. How to calculate the LCM of 671, 168, 726, 945?
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, 168, 726, 945.
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}.