LCM of 1642, 9620
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 1642, 9620 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 1642, 9620. So, keep reading to learn more.
Given numbers are 1642,9620
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 1642,9620 is 7898020.
Find LCM of 1642,9620 with Prime Factorization
| 2 | 1642, 9620 |
| 821, 4810 |
Multiply the prime numbers at the bottom and the left side.
2 x 821 x 4810 = 7898020
Therefore, the lowest common multiple of 1642,9620 is 7898020.
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.
1642 x 9620 = 15796040
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.
1642 : 1, 2, 821, 1642
9620 : 1, 2, 4, 5, 10, 13, 20, 26, 37, 52, 65, 74, 130, 148, 185, 260, 370, 481, 740, 962, 1924, 2405, 4810, 9620
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1642,9620, is 2.
Now, the common factors can be found like this.
1642:2x 821
9620:2x 2x 5x 13x 37
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 = 15796040/(2x1)
LCM = 15796040/2
LCM = 7898020
Thus, we can understand that the LCM of 1642,9620 is 7898020.
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FAQs on LCM of 1642, 9620
1. What is the LCM of 1642, 9620?
Answer: LCM of 1642, 9620 is 7898020.
2. How to calculate the LCM of 1642, 9620?
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 1642, 9620.
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}.