LCM of 691, 945, 905, 828, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 691, 945, 905, 828, 468 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 691, 945, 905, 828, 468. So, keep reading to learn more.
Given numbers are 691,945,905,828,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 691,945,905,828,468 is 141357745620.
Find LCM of 691,945,905,828,468 with Prime Factorization
| 2 | 691, 945, 905, 828, 468 |
| 2 | 691, 945, 905, 414, 234 |
| 3 | 691, 945, 905, 207, 117 |
| 3 | 691, 315, 905, 69, 39 |
| 5 | 691, 105, 905, 23, 13 |
| 691, 21, 181, 23, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 691 x 21 x 181 x 23 x 13 = 141357745620
Therefore, the lowest common multiple of 691,945,905,828,468 is 141357745620.
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.
691 x 945 x 905 x 828 x 468 = 228999547904400
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.
691 : 1, 691
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
905 : 1, 5, 181, 905
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 691,945,905,828,468, is 1.
Now, the common factors can be found like this.
691:691
945:3x 3x 3x 5x 7
905:5x 181
828:2x 2x 3x 3x 23
468:2x 2x 3x 3x 13
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 3x 3x 3x 3x 5 = 1620
Therefore, the value for common factors is 1620.
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 = 228999547904400/(1x1620)
LCM = 228999547904400/1620
LCM = 141357745620
Thus, we can understand that the LCM of 691,945,905,828,468 is 141357745620.
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FAQs on LCM of 691, 945, 905, 828, 468
1. What is the LCM of 691, 945, 905, 828, 468?
Answer: LCM of 691, 945, 905, 828, 468 is 141357745620.
2. How to calculate the LCM of 691, 945, 905, 828, 468?
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 691, 945, 905, 828, 468.
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}.