Find the LCM of 760, 570, 974, 217, 798 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 760, 570, 974, 217, 798. So, keep reading to learn more.
Given numbers are 760,570,974,217,798
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,570,974,217,798 is 240948120.
Find LCM of 760,570,974,217,798 with Prime Factorization
2 | 760, 570, 974, 217, 798 |
3 | 380, 285, 487, 217, 399 |
5 | 380, 95, 487, 217, 133 |
7 | 76, 19, 487, 217, 133 |
19 | 76, 19, 487, 31, 19 |
4, 1, 487, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 19 x 4 x 1 x 487 x 31 x 1 = 240948120
Therefore, the lowest common multiple of 760,570,974,217,798 is 240948120.
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.
760 x 570 x 974 x 217 x 798 = 73065107908800
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.
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
974 : 1, 2, 487, 974
217 : 1, 7, 31, 217
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,570,974,217,798, is 1.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
570:2x 3x 5x 19
974:2x 487
217:7x 31
798:2x 3x 7x 19
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 3x 5x 7x 19x 19 = 303240
Therefore, the value for common factors is 303240.
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 = 73065107908800/(1x303240)
LCM = 73065107908800/303240
LCM = 240948120
Thus, we can understand that the LCM of 760,570,974,217,798 is 240948120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 760, 570, 974, 217, 798?
Answer: LCM of 760, 570, 974, 217, 798 is 240948120.
2. How to calculate the LCM of 760, 570, 974, 217, 798?
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 760, 570, 974, 217, 798.
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}.