Find the LCM of 762, 834, 129, 946 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 762, 834, 129, 946. So, keep reading to learn more.
Given numbers are 762,834,129,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,834,129,946 is 50099214.
Find LCM of 762,834,129,946 with Prime Factorization
2 | 762, 834, 129, 946 |
3 | 381, 417, 129, 473 |
43 | 127, 139, 43, 473 |
127, 139, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 127 x 139 x 1 x 11 = 50099214
Therefore, the lowest common multiple of 762,834,129,946 is 50099214.
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.
762 x 834 x 129 x 946 = 77553583272
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
834 : 1, 2, 3, 6, 139, 278, 417, 834
129 : 1, 3, 43, 129
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,834,129,946, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
834:2x 3x 139
129:3x 43
946:2x 11x 43
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 3x 3x 43 = 1548
Therefore, the value for common factors is 1548.
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 = 77553583272/(1x1548)
LCM = 77553583272/1548
LCM = 50099214
Thus, we can understand that the LCM of 762,834,129,946 is 50099214.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 762, 834, 129, 946?
Answer: LCM of 762, 834, 129, 946 is 50099214.
2. How to calculate the LCM of 762, 834, 129, 946?
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 762, 834, 129, 946.
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}.