LCM of 726, 676, 577, 188, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 726, 676, 577, 188, 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 726, 676, 577, 188, 945. So, keep reading to learn more.
Given numbers are 726,676,577,188,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 726,676,577,188,945 is 2096223309180.
Find LCM of 726,676,577,188,945 with Prime Factorization
| 2 | 726, 676, 577, 188, 945 |
| 2 | 363, 338, 577, 94, 945 |
| 3 | 363, 169, 577, 47, 945 |
| 121, 169, 577, 47, 315 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 121 x 169 x 577 x 47 x 315 = 2096223309180
Therefore, the lowest common multiple of 726,676,577,188,945 is 2096223309180.
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.
726 x 676 x 577 x 188 x 945 = 50309359420320
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.
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
577 : 1, 577
188 : 1, 2, 4, 47, 94, 188
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 726,676,577,188,945, is 1.
Now, the common factors can be found like this.
726:2x 3x 11x 11
676:2x 2x 13x 13
577:577
188:2x 2x 47
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 2x 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 50309359420320/(1x24)
LCM = 50309359420320/24
LCM = 2096223309180
Thus, we can understand that the LCM of 726,676,577,188,945 is 2096223309180.
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FAQs on LCM of 726, 676, 577, 188, 945
1. What is the LCM of 726, 676, 577, 188, 945?
Answer: LCM of 726, 676, 577, 188, 945 is 2096223309180.
2. How to calculate the LCM of 726, 676, 577, 188, 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 726, 676, 577, 188, 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}.