LCM of 142, 923, 412, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 142, 923, 412, 546 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 142, 923, 412, 546. So, keep reading to learn more.
Given numbers are 142,923,412,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 142,923,412,546 is 7985796.
Find LCM of 142,923,412,546 with Prime Factorization
| 2 | 142, 923, 412, 546 |
| 13 | 71, 923, 206, 273 |
| 71 | 71, 71, 206, 21 |
| 1, 1, 206, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 71 x 1 x 1 x 206 x 21 = 7985796
Therefore, the lowest common multiple of 142,923,412,546 is 7985796.
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.
142 x 923 x 412 x 546 = 29483558832
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.
142 : 1, 2, 71, 142
923 : 1, 13, 71, 923
412 : 1, 2, 4, 103, 206, 412
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,923,412,546, is 1.
Now, the common factors can be found like this.
142:2x 71
923:13x 71
412:2x 2x 103
546:2x 3x 7x 13
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 13x 71 = 3692
Therefore, the value for common factors is 3692.
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 = 29483558832/(1x3692)
LCM = 29483558832/3692
LCM = 7985796
Thus, we can understand that the LCM of 142,923,412,546 is 7985796.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 142, 923, 412, 546
1. What is the LCM of 142, 923, 412, 546?
Answer: LCM of 142, 923, 412, 546 is 7985796.
2. How to calculate the LCM of 142, 923, 412, 546?
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 142, 923, 412, 546.
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}.