LCM of 8690, 1320
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8690, 1320 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 8690, 1320. So, keep reading to learn more.
Given numbers are 8690,1320
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8690,1320 is 104280.
Find LCM of 8690,1320 with Prime Factorization
| 2 | 8690, 1320 |
| 5 | 4345, 660 |
| 11 | 869, 132 |
| 79, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 79 x 12 = 104280
Therefore, the lowest common multiple of 8690,1320 is 104280.
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.
8690 x 1320 = 11470800
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.
8690 : 1, 2, 5, 10, 11, 22, 55, 79, 110, 158, 395, 790, 869, 1738, 4345, 8690
1320 : 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, 1320
110 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8690,1320, is 110.
Now, the common factors can be found like this.
8690:2x 5x 11x 79
1320:2x 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.
= 1
Therefore, the value for common factors is 1.
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 = 11470800/(110x1)
LCM = 11470800/110
LCM = 104280
Thus, we can understand that the LCM of 8690,1320 is 104280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 8690, 1320
1. What is the LCM of 8690, 1320?
Answer: LCM of 8690, 1320 is 104280.
2. How to calculate the LCM of 8690, 1320?
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 8690, 1320.
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}.