LCM of 869, 477, 697, 615, 882
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 869, 477, 697, 615, 882 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 869, 477, 697, 615, 882. So, keep reading to learn more.
Given numbers are 869,477,697,615,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,477,697,615,882 is 141568624890.
Find LCM of 869,477,697,615,882 with Prime Factorization
| 3 | 869, 477, 697, 615, 882 |
| 3 | 869, 159, 697, 205, 294 |
| 41 | 869, 53, 697, 205, 98 |
| 869, 53, 17, 5, 98 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 41 x 869 x 53 x 17 x 5 x 98 = 141568624890
Therefore, the lowest common multiple of 869,477,697,615,882 is 141568624890.
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.
869 x 477 x 697 x 615 x 882 = 156716467753230
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.
869 : 1, 11, 79, 869
477 : 1, 3, 9, 53, 159, 477
697 : 1, 17, 41, 697
615 : 1, 3, 5, 15, 41, 123, 205, 615
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,477,697,615,882, is 1.
Now, the common factors can be found like this.
869:11x 79
477:3x 3x 53
697:17x 41
615:3x 5x 41
882:2x 3x 3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 41 = 1107
Therefore, the value for common factors is 1107.
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 = 156716467753230/(1x1107)
LCM = 156716467753230/1107
LCM = 141568624890
Thus, we can understand that the LCM of 869,477,697,615,882 is 141568624890.
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FAQs on LCM of 869, 477, 697, 615, 882
1. What is the LCM of 869, 477, 697, 615, 882?
Answer: LCM of 869, 477, 697, 615, 882 is 141568624890.
2. How to calculate the LCM of 869, 477, 697, 615, 882?
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 869, 477, 697, 615, 882.
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}.