Find the LCM of 502, 753, 493, 668, 313 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 502, 753, 493, 668, 313. So, keep reading to learn more.
Given numbers are 502,753,493,668,313
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 502,753,493,668,313 is 77618044236.
Find LCM of 502,753,493,668,313 with Prime Factorization
2 | 502, 753, 493, 668, 313 |
251 | 251, 753, 493, 334, 313 |
1, 3, 493, 334, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 251 x 1 x 3 x 493 x 334 x 313 = 77618044236
Therefore, the lowest common multiple of 502,753,493,668,313 is 77618044236.
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.
502 x 753 x 493 x 668 x 313 = 38964258206472
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.
502 : 1, 2, 251, 502
753 : 1, 3, 251, 753
493 : 1, 17, 29, 493
668 : 1, 2, 4, 167, 334, 668
313 : 1, 313
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 502,753,493,668,313, is 1.
Now, the common factors can be found like this.
502:2x 251
753:3x 251
493:17x 29
668:2x 2x 167
313:313
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 251 = 502
Therefore, the value for common factors is 502.
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 = 38964258206472/(1x502)
LCM = 38964258206472/502
LCM = 77618044236
Thus, we can understand that the LCM of 502,753,493,668,313 is 77618044236.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 502, 753, 493, 668, 313?
Answer: LCM of 502, 753, 493, 668, 313 is 77618044236.
2. How to calculate the LCM of 502, 753, 493, 668, 313?
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 502, 753, 493, 668, 313.
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}.