LCM of 451, 131, 402, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 451, 131, 402, 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 451, 131, 402, 546. So, keep reading to learn more.
Given numbers are 451,131,402,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 451,131,402,546 is 2161301142.
Find LCM of 451,131,402,546 with Prime Factorization
| 2 | 451, 131, 402, 546 |
| 3 | 451, 131, 201, 273 |
| 451, 131, 67, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 451 x 131 x 67 x 91 = 2161301142
Therefore, the lowest common multiple of 451,131,402,546 is 2161301142.
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.
451 x 131 x 402 x 546 = 12967806852
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.
451 : 1, 11, 41, 451
131 : 1, 131
402 : 1, 2, 3, 6, 67, 134, 201, 402
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 451,131,402,546, is 1.
Now, the common factors can be found like this.
451:11x 41
131:131
402:2x 3x 67
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 3 = 6
Therefore, the value for common factors is 6.
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 = 12967806852/(1x6)
LCM = 12967806852/6
LCM = 2161301142
Thus, we can understand that the LCM of 451,131,402,546 is 2161301142.
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FAQs on LCM of 451, 131, 402, 546
1. What is the LCM of 451, 131, 402, 546?
Answer: LCM of 451, 131, 402, 546 is 2161301142.
2. How to calculate the LCM of 451, 131, 402, 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 451, 131, 402, 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}.