LCM of 268, 618, 765, 125, 125
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 268, 618, 765, 125, 125 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 268, 618, 765, 125, 125. So, keep reading to learn more.
Given numbers are 268,618,765,125,125
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,618,765,125,125 is 527926500.
Find LCM of 268,618,765,125,125 with Prime Factorization
| 2 | 268, 618, 765, 125, 125 |
| 3 | 134, 309, 765, 125, 125 |
| 5 | 134, 103, 255, 125, 125 |
| 5 | 134, 103, 51, 25, 25 |
| 5 | 134, 103, 51, 5, 5 |
| 134, 103, 51, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 5 x 134 x 103 x 51 x 1 x 1 = 527926500
Therefore, the lowest common multiple of 268,618,765,125,125 is 527926500.
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.
268 x 618 x 765 x 125 x 125 = 1979724375000
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.
268 : 1, 2, 4, 67, 134, 268
618 : 1, 2, 3, 6, 103, 206, 309, 618
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
125 : 1, 5, 25, 125
125 : 1, 5, 25, 125
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,618,765,125,125, is 1.
Now, the common factors can be found like this.
268:2x 2x 67
618:2x 3x 103
765:3x 3x 5x 17
125:5x 5x 5
125:5x 5x 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 3x 5x 5x 5x 5 = 3750
Therefore, the value for common factors is 3750.
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 = 1979724375000/(1x3750)
LCM = 1979724375000/3750
LCM = 527926500
Thus, we can understand that the LCM of 268,618,765,125,125 is 527926500.
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FAQs on LCM of 268, 618, 765, 125, 125
1. What is the LCM of 268, 618, 765, 125, 125?
Answer: LCM of 268, 618, 765, 125, 125 is 527926500.
2. How to calculate the LCM of 268, 618, 765, 125, 125?
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 268, 618, 765, 125, 125.
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}.