Find the LCM of 714, 507, 505, 908, 755 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 714, 507, 505, 908, 755. So, keep reading to learn more.
Given numbers are 714,507,505,908,755
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,507,505,908,755 is 4177429166820.
Find LCM of 714,507,505,908,755 with Prime Factorization
2 | 714, 507, 505, 908, 755 |
3 | 357, 507, 505, 454, 755 |
5 | 119, 169, 505, 454, 755 |
119, 169, 101, 454, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 119 x 169 x 101 x 454 x 151 = 4177429166820
Therefore, the lowest common multiple of 714,507,505,908,755 is 4177429166820.
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.
714 x 507 x 505 x 908 x 755 = 125322875004600
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
507 : 1, 3, 13, 39, 169, 507
505 : 1, 5, 101, 505
908 : 1, 2, 4, 227, 454, 908
755 : 1, 5, 151, 755
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,507,505,908,755, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
507:3x 13x 13
505:5x 101
908:2x 2x 227
755:5x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 125322875004600/(1x30)
LCM = 125322875004600/30
LCM = 4177429166820
Thus, we can understand that the LCM of 714,507,505,908,755 is 4177429166820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 714, 507, 505, 908, 755?
Answer: LCM of 714, 507, 505, 908, 755 is 4177429166820.
2. How to calculate the LCM of 714, 507, 505, 908, 755?
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 714, 507, 505, 908, 755.
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}.