Find the LCM of 508, 573, 771, 285, 553 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, 573, 771, 285, 553. So, keep reading to learn more.
Given numbers are 508,573,771,285,553
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,573,771,285,553 is 3930069170580.
Find LCM of 508,573,771,285,553 with Prime Factorization
3 | 508, 573, 771, 285, 553 |
508, 191, 257, 95, 553 |
Multiply the prime numbers at the bottom and the left side.
3 x 508 x 191 x 257 x 95 x 553 = 3930069170580
Therefore, the lowest common multiple of 508,573,771,285,553 is 3930069170580.
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 573 x 771 x 285 x 553 = 35370622535220
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
573 : 1, 3, 191, 573
771 : 1, 3, 257, 771
285 : 1, 3, 5, 15, 19, 57, 95, 285
553 : 1, 7, 79, 553
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,573,771,285,553, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
573:3x 191
771:3x 257
285:3x 5x 19
553:7x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 35370622535220/(1x9)
LCM = 35370622535220/9
LCM = 3930069170580
Thus, we can understand that the LCM of 508,573,771,285,553 is 3930069170580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 508, 573, 771, 285, 553?
Answer: LCM of 508, 573, 771, 285, 553 is 3930069170580.
2. How to calculate the LCM of 508, 573, 771, 285, 553?
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, 573, 771, 285, 553.
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}.