LCM of 108, 765, 100, 642, 640
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 108, 765, 100, 642, 640 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 108, 765, 100, 642, 640. So, keep reading to learn more.
Given numbers are 108,765,100,642,640
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 108,765,100,642,640 is 157161600.
Find LCM of 108,765,100,642,640 with Prime Factorization
| 2 | 108, 765, 100, 642, 640 |
| 2 | 54, 765, 50, 321, 320 |
| 3 | 27, 765, 25, 321, 160 |
| 3 | 9, 255, 25, 107, 160 |
| 5 | 3, 85, 25, 107, 160 |
| 3, 17, 5, 107, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 3 x 17 x 5 x 107 x 32 = 157161600
Therefore, the lowest common multiple of 108,765,100,642,640 is 157161600.
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.
108 x 765 x 100 x 642 x 640 = 3394690560000
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.
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
642 : 1, 2, 3, 6, 107, 214, 321, 642
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 108,765,100,642,640, is 1.
Now, the common factors can be found like this.
108:2x 2x 3x 3x 3
765:3x 3x 5x 17
100:2x 2x 5x 5
642:2x 3x 107
640:2x 2x 2x 2x 2x 2x 2x 5
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 2x 3x 3x 3x 5x 5 = 21600
Therefore, the value for common factors is 21600.
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 = 3394690560000/(1x21600)
LCM = 3394690560000/21600
LCM = 157161600
Thus, we can understand that the LCM of 108,765,100,642,640 is 157161600.
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FAQs on LCM of 108, 765, 100, 642, 640
1. What is the LCM of 108, 765, 100, 642, 640?
Answer: LCM of 108, 765, 100, 642, 640 is 157161600.
2. How to calculate the LCM of 108, 765, 100, 642, 640?
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 108, 765, 100, 642, 640.
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}.