LCM of 239, 692, 606, 715, 660
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 239, 692, 606, 715, 660 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 239, 692, 606, 715, 660. So, keep reading to learn more.
Given numbers are 239,692,606,715,660
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 239,692,606,715,660 is 35830483260.
Find LCM of 239,692,606,715,660 with Prime Factorization
| 2 | 239, 692, 606, 715, 660 |
| 2 | 239, 346, 303, 715, 330 |
| 3 | 239, 173, 303, 715, 165 |
| 5 | 239, 173, 101, 715, 55 |
| 11 | 239, 173, 101, 143, 11 |
| 239, 173, 101, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 239 x 173 x 101 x 13 x 1 = 35830483260
Therefore, the lowest common multiple of 239,692,606,715,660 is 35830483260.
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.
239 x 692 x 606 x 715 x 660 = 47296237903200
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.
239 : 1, 239
692 : 1, 2, 4, 173, 346, 692
606 : 1, 2, 3, 6, 101, 202, 303, 606
715 : 1, 5, 11, 13, 55, 65, 143, 715
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,692,606,715,660, is 1.
Now, the common factors can be found like this.
239:239
692:2x 2x 173
606:2x 3x 101
715:5x 11x 13
660:2x 2x 3x 5x 11
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 3x 5x 11 = 1320
Therefore, the value for common factors is 1320.
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 = 47296237903200/(1x1320)
LCM = 47296237903200/1320
LCM = 35830483260
Thus, we can understand that the LCM of 239,692,606,715,660 is 35830483260.
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FAQs on LCM of 239, 692, 606, 715, 660
1. What is the LCM of 239, 692, 606, 715, 660?
Answer: LCM of 239, 692, 606, 715, 660 is 35830483260.
2. How to calculate the LCM of 239, 692, 606, 715, 660?
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 239, 692, 606, 715, 660.
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}.