LCM of 197, 129, 344, 540, 100
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 197, 129, 344, 540, 100 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 197, 129, 344, 540, 100. So, keep reading to learn more.
Given numbers are 197,129,344,540,100
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 197,129,344,540,100 is 45743400.
Find LCM of 197,129,344,540,100 with Prime Factorization
| 2 | 197, 129, 344, 540, 100 |
| 2 | 197, 129, 172, 270, 50 |
| 3 | 197, 129, 86, 135, 25 |
| 5 | 197, 43, 86, 45, 25 |
| 43 | 197, 43, 86, 9, 5 |
| 197, 1, 2, 9, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 43 x 197 x 1 x 2 x 9 x 5 = 45743400
Therefore, the lowest common multiple of 197,129,344,540,100 is 45743400.
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.
197 x 129 x 344 x 540 x 100 = 472071888000
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.
197 : 1, 197
129 : 1, 3, 43, 129
344 : 1, 2, 4, 8, 43, 86, 172, 344
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,129,344,540,100, is 1.
Now, the common factors can be found like this.
197:197
129:3x 43
344:2x 2x 2x 43
540:2x 2x 3x 3x 3x 5
100:2x 2x 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 2x 2x 2x 3x 5x 43 = 10320
Therefore, the value for common factors is 10320.
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 = 472071888000/(1x10320)
LCM = 472071888000/10320
LCM = 45743400
Thus, we can understand that the LCM of 197,129,344,540,100 is 45743400.
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FAQs on LCM of 197, 129, 344, 540, 100
1. What is the LCM of 197, 129, 344, 540, 100?
Answer: LCM of 197, 129, 344, 540, 100 is 45743400.
2. How to calculate the LCM of 197, 129, 344, 540, 100?
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 197, 129, 344, 540, 100.
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}.