LCM of 451, 121, 803, 946, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 451, 121, 803, 946, 984 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, 121, 803, 946, 984. So, keep reading to learn more.
Given numbers are 451,121,803,946,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 451,121,803,946,984 is 373741896.
Find LCM of 451,121,803,946,984 with Prime Factorization
| 2 | 451, 121, 803, 946, 984 |
| 11 | 451, 121, 803, 473, 492 |
| 41 | 41, 11, 73, 43, 492 |
| 1, 11, 73, 43, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 41 x 1 x 11 x 73 x 43 x 12 = 373741896
Therefore, the lowest common multiple of 451,121,803,946,984 is 373741896.
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 121 x 803 x 946 x 984 = 40790938013232
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
121 : 1, 11, 121
803 : 1, 11, 73, 803
946 : 1, 2, 11, 22, 43, 86, 473, 946
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,121,803,946,984, is 1.
Now, the common factors can be found like this.
451:11x 41
121:11x 11
803:11x 73
946:2x 11x 43
984:2x 2x 2x 3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11x 11x 41 = 109142
Therefore, the value for common factors is 109142.
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 = 40790938013232/(1x109142)
LCM = 40790938013232/109142
LCM = 373741896
Thus, we can understand that the LCM of 451,121,803,946,984 is 373741896.
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FAQs on LCM of 451, 121, 803, 946, 984
1. What is the LCM of 451, 121, 803, 946, 984?
Answer: LCM of 451, 121, 803, 946, 984 is 373741896.
2. How to calculate the LCM of 451, 121, 803, 946, 984?
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, 121, 803, 946, 984.
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}.