Find the LCM of 473, 713, 713, 640, 703 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 473, 713, 713, 640, 703. So, keep reading to learn more.
Given numbers are 473,713,713,640,703
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 473,713,713,640,703 is 151735070080.
Find LCM of 473,713,713,640,703 with Prime Factorization
23 | 473, 713, 713, 640, 703 |
31 | 473, 31, 31, 640, 703 |
473, 1, 1, 640, 703 |
Multiply the prime numbers at the bottom and the left side.
23 x 31 x 473 x 1 x 1 x 640 x 703 = 151735070080
Therefore, the lowest common multiple of 473,713,713,640,703 is 151735070080.
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.
473 x 713 x 713 x 640 x 703 = 108187104967040
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.
473 : 1, 11, 43, 473
713 : 1, 23, 31, 713
713 : 1, 23, 31, 713
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
703 : 1, 19, 37, 703
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,713,713,640,703, is 1.
Now, the common factors can be found like this.
473:11x 43
713:23x 31
713:23x 31
640:2x 2x 2x 2x 2x 2x 2x 5
703:19x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23x 31 = 713
Therefore, the value for common factors is 713.
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 = 108187104967040/(1x713)
LCM = 108187104967040/713
LCM = 151735070080
Thus, we can understand that the LCM of 473,713,713,640,703 is 151735070080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 473, 713, 713, 640, 703?
Answer: LCM of 473, 713, 713, 640, 703 is 151735070080.
2. How to calculate the LCM of 473, 713, 713, 640, 703?
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 473, 713, 713, 640, 703.
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}.