LCM of 690, 940, 505, 123, 265
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 690, 940, 505, 123, 265 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 690, 940, 505, 123, 265. So, keep reading to learn more.
Given numbers are 690,940,505,123,265
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 690,940,505,123,265 is 14235018780.
Find LCM of 690,940,505,123,265 with Prime Factorization
| 2 | 690, 940, 505, 123, 265 |
| 3 | 345, 470, 505, 123, 265 |
| 5 | 115, 470, 505, 41, 265 |
| 23, 94, 101, 41, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 94 x 101 x 41 x 53 = 14235018780
Therefore, the lowest common multiple of 690,940,505,123,265 is 14235018780.
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.
690 x 940 x 505 x 123 x 265 = 10676264085000
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.
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
505 : 1, 5, 101, 505
123 : 1, 3, 41, 123
265 : 1, 5, 53, 265
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,940,505,123,265, is 1.
Now, the common factors can be found like this.
690:2x 3x 5x 23
940:2x 2x 5x 47
505:5x 101
123:3x 41
265:5x 53
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 5x 5x 5 = 750
Therefore, the value for common factors is 750.
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 = 10676264085000/(1x750)
LCM = 10676264085000/750
LCM = 14235018780
Thus, we can understand that the LCM of 690,940,505,123,265 is 14235018780.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 690, 940, 505, 123, 265
1. What is the LCM of 690, 940, 505, 123, 265?
Answer: LCM of 690, 940, 505, 123, 265 is 14235018780.
2. How to calculate the LCM of 690, 940, 505, 123, 265?
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 690, 940, 505, 123, 265.
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}.