Find the LCM of 760, 283, 310, 410, 570 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, 283, 310, 410, 570. So, keep reading to learn more.
Given numbers are 760,283,310,410,570
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,283,310,410,570 is 820100040.
Find LCM of 760,283,310,410,570 with Prime Factorization
2 | 760, 283, 310, 410, 570 |
5 | 380, 283, 155, 205, 285 |
19 | 76, 283, 31, 41, 57 |
4, 283, 31, 41, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 4 x 283 x 31 x 41 x 3 = 820100040
Therefore, the lowest common multiple of 760,283,310,410,570 is 820100040.
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 283 x 310 x 410 x 570 = 15581900760000
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
283 : 1, 283
310 : 1, 2, 5, 10, 31, 62, 155, 310
410 : 1, 2, 5, 10, 41, 82, 205, 410
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,283,310,410,570, is 1.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
283:283
310:2x 5x 31
410:2x 5x 41
570:2x 3x 5x 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 5x 5x 5x 19 = 19000
Therefore, the value for common factors is 19000.
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 = 15581900760000/(1x19000)
LCM = 15581900760000/19000
LCM = 820100040
Thus, we can understand that the LCM of 760,283,310,410,570 is 820100040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 760, 283, 310, 410, 570?
Answer: LCM of 760, 283, 310, 410, 570 is 820100040.
2. How to calculate the LCM of 760, 283, 310, 410, 570?
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, 283, 310, 410, 570.
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}.