LCM of 610, 100, 121, 625, 206
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 610, 100, 121, 625, 206 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 610, 100, 121, 625, 206. So, keep reading to learn more.
Given numbers are 610,100,121,625,206
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 610,100,121,625,206 is 1900607500.
Find LCM of 610,100,121,625,206 with Prime Factorization
| 2 | 610, 100, 121, 625, 206 |
| 5 | 305, 50, 121, 625, 103 |
| 5 | 61, 10, 121, 125, 103 |
| 61, 2, 121, 25, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 61 x 2 x 121 x 25 x 103 = 1900607500
Therefore, the lowest common multiple of 610,100,121,625,206 is 1900607500.
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.
610 x 100 x 121 x 625 x 206 = 950303750000
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.
610 : 1, 2, 5, 10, 61, 122, 305, 610
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
121 : 1, 11, 121
625 : 1, 5, 25, 125, 625
206 : 1, 2, 103, 206
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 610,100,121,625,206, is 1.
Now, the common factors can be found like this.
610:2x 5x 61
100:2x 2x 5x 5
121:11x 11
625:5x 5x 5x 5
206:2x 103
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 5x 5x 5 = 500
Therefore, the value for common factors is 500.
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 = 950303750000/(1x500)
LCM = 950303750000/500
LCM = 1900607500
Thus, we can understand that the LCM of 610,100,121,625,206 is 1900607500.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 610, 100, 121, 625, 206
1. What is the LCM of 610, 100, 121, 625, 206?
Answer: LCM of 610, 100, 121, 625, 206 is 1900607500.
2. How to calculate the LCM of 610, 100, 121, 625, 206?
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 610, 100, 121, 625, 206.
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}.