Find the LCM of 769, 630, 828, 810, 488 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 769, 630, 828, 810, 488. So, keep reading to learn more.
Given numbers are 769,630,828,810,488
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 769,630,828,810,488 is 24469610760.
Find LCM of 769,630,828,810,488 with Prime Factorization
2 | 769, 630, 828, 810, 488 |
2 | 769, 315, 414, 405, 244 |
3 | 769, 315, 207, 405, 122 |
3 | 769, 105, 69, 135, 122 |
5 | 769, 35, 23, 45, 122 |
769, 7, 23, 9, 122 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 769 x 7 x 23 x 9 x 122 = 24469610760
Therefore, the lowest common multiple of 769,630,828,810,488 is 24469610760.
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.
769 x 630 x 828 x 810 x 488 = 158563077724800
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.
769 : 1, 769
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
488 : 1, 2, 4, 8, 61, 122, 244, 488
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,630,828,810,488, is 1.
Now, the common factors can be found like this.
769:769
630:2x 3x 3x 5x 7
828:2x 2x 3x 3x 23
810:2x 3x 3x 3x 3x 5
488:2x 2x 2x 61
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 2x 3x 3x 3x 3x 5 = 6480
Therefore, the value for common factors is 6480.
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 = 158563077724800/(1x6480)
LCM = 158563077724800/6480
LCM = 24469610760
Thus, we can understand that the LCM of 769,630,828,810,488 is 24469610760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 769, 630, 828, 810, 488?
Answer: LCM of 769, 630, 828, 810, 488 is 24469610760.
2. How to calculate the LCM of 769, 630, 828, 810, 488?
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 769, 630, 828, 810, 488.
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}.