LCM of 546, 381, 501, 102
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 381, 501, 102 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 546, 381, 501, 102. So, keep reading to learn more.
Given numbers are 546,381,501,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,381,501,102 is 196861938.
Find LCM of 546,381,501,102 with Prime Factorization
| 2 | 546, 381, 501, 102 |
| 3 | 273, 381, 501, 51 |
| 91, 127, 167, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 91 x 127 x 167 x 17 = 196861938
Therefore, the lowest common multiple of 546,381,501,102 is 196861938.
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.
546 x 381 x 501 x 102 = 10630544652
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
381 : 1, 3, 127, 381
501 : 1, 3, 167, 501
102 : 1, 2, 3, 6, 17, 34, 51, 102
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,381,501,102, is 3.
Now, the common factors can be found like this.
546:2x 3x 7x 13
381:3x 127
501:3x 167
102:2x 3x 17
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 3 = 18
Therefore, the value for common factors is 18.
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 = 10630544652/(3x18)
LCM = 10630544652/54
LCM = 196861938
Thus, we can understand that the LCM of 546,381,501,102 is 196861938.
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FAQs on LCM of 546, 381, 501, 102
1. What is the LCM of 546, 381, 501, 102?
Answer: LCM of 546, 381, 501, 102 is 196861938.
2. How to calculate the LCM of 546, 381, 501, 102?
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 546, 381, 501, 102.
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}.