Find the LCM of 609, 161, 828, 769, 435 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 609, 161, 828, 769, 435. So, keep reading to learn more.
Given numbers are 609,161,828,769,435
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 609,161,828,769,435 is 646282980.
Find LCM of 609,161,828,769,435 with Prime Factorization
3 | 609, 161, 828, 769, 435 |
7 | 203, 161, 276, 769, 145 |
23 | 29, 23, 276, 769, 145 |
29 | 29, 1, 12, 769, 145 |
1, 1, 12, 769, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 23 x 29 x 1 x 1 x 12 x 769 x 5 = 646282980
Therefore, the lowest common multiple of 609,161,828,769,435 is 646282980.
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.
609 x 161 x 828 x 769 x 435 = 27157457102580
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.
609 : 1, 3, 7, 21, 29, 87, 203, 609
161 : 1, 7, 23, 161
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
769 : 1, 769
435 : 1, 3, 5, 15, 29, 87, 145, 435
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,161,828,769,435, is 1.
Now, the common factors can be found like this.
609:3x 7x 29
161:7x 23
828:2x 2x 3x 3x 23
769:769
435:3x 5x 29
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 7x 23x 29 = 42021
Therefore, the value for common factors is 42021.
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 = 27157457102580/(1x42021)
LCM = 27157457102580/42021
LCM = 646282980
Thus, we can understand that the LCM of 609,161,828,769,435 is 646282980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 609, 161, 828, 769, 435?
Answer: LCM of 609, 161, 828, 769, 435 is 646282980.
2. How to calculate the LCM of 609, 161, 828, 769, 435?
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 609, 161, 828, 769, 435.
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}.