LCM of 106, 135, 458, 978, 126
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 106, 135, 458, 978, 126 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 106, 135, 458, 978, 126. So, keep reading to learn more.
Given numbers are 106,135,458,978,126
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 106,135,458,978,126 is 3739045590.
Find LCM of 106,135,458,978,126 with Prime Factorization
| 2 | 106, 135, 458, 978, 126 |
| 3 | 53, 135, 229, 489, 63 |
| 3 | 53, 45, 229, 163, 21 |
| 53, 15, 229, 163, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 53 x 15 x 229 x 163 x 7 = 3739045590
Therefore, the lowest common multiple of 106,135,458,978,126 is 3739045590.
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.
106 x 135 x 458 x 978 x 126 = 807633847440
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.
106 : 1, 2, 53, 106
135 : 1, 3, 5, 9, 15, 27, 45, 135
458 : 1, 2, 229, 458
978 : 1, 2, 3, 6, 163, 326, 489, 978
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,135,458,978,126, is 1.
Now, the common factors can be found like this.
106:2x 53
135:3x 3x 3x 5
458:2x 229
978:2x 3x 163
126:2x 3x 3x 7
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 807633847440/(1x216)
LCM = 807633847440/216
LCM = 3739045590
Thus, we can understand that the LCM of 106,135,458,978,126 is 3739045590.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 106, 135, 458, 978, 126
1. What is the LCM of 106, 135, 458, 978, 126?
Answer: LCM of 106, 135, 458, 978, 126 is 3739045590.
2. How to calculate the LCM of 106, 135, 458, 978, 126?
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 106, 135, 458, 978, 126.
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}.