Find the LCM of 508, 865, 420, 381, 712 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 508, 865, 420, 381, 712. So, keep reading to learn more.
Given numbers are 508,865,420,381,712
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,865,420,381,712 is 1642551960.
Find LCM of 508,865,420,381,712 with Prime Factorization
2 | 508, 865, 420, 381, 712 |
2 | 254, 865, 210, 381, 356 |
3 | 127, 865, 105, 381, 178 |
5 | 127, 865, 35, 127, 178 |
127 | 127, 173, 7, 127, 178 |
1, 173, 7, 1, 178 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 127 x 1 x 173 x 7 x 1 x 178 = 1642551960
Therefore, the lowest common multiple of 508,865,420,381,712 is 1642551960.
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.
508 x 865 x 420 x 381 x 712 = 50064983740800
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.
508 : 1, 2, 4, 127, 254, 508
865 : 1, 5, 173, 865
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
381 : 1, 3, 127, 381
712 : 1, 2, 4, 8, 89, 178, 356, 712
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,865,420,381,712, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
865:5x 173
420:2x 2x 3x 5x 7
381:3x 127
712:2x 2x 2x 89
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 2x 2x 3x 5x 127 = 30480
Therefore, the value for common factors is 30480.
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 = 50064983740800/(1x30480)
LCM = 50064983740800/30480
LCM = 1642551960
Thus, we can understand that the LCM of 508,865,420,381,712 is 1642551960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 508, 865, 420, 381, 712?
Answer: LCM of 508, 865, 420, 381, 712 is 1642551960.
2. How to calculate the LCM of 508, 865, 420, 381, 712?
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 508, 865, 420, 381, 712.
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}.