Find the LCM of 709, 355, 403, 963, 496 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 709, 355, 403, 963, 496. So, keep reading to learn more.
Given numbers are 709,355,403,963,496
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 709,355,403,963,496 is 1562880973680.
Find LCM of 709,355,403,963,496 with Prime Factorization
31 | 709, 355, 403, 963, 496 |
709, 355, 13, 963, 16 |
Multiply the prime numbers at the bottom and the left side.
31 x 709 x 355 x 13 x 963 x 16 = 1562880973680
Therefore, the lowest common multiple of 709,355,403,963,496 is 1562880973680.
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.
709 x 355 x 403 x 963 x 496 = 48449310184080
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.
709 : 1, 709
355 : 1, 5, 71, 355
403 : 1, 13, 31, 403
963 : 1, 3, 9, 107, 321, 963
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,355,403,963,496, is 1.
Now, the common factors can be found like this.
709:709
355:5x 71
403:13x 31
963:3x 3x 107
496:2x 2x 2x 2x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
31 = 31
Therefore, the value for common factors is 31.
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 = 48449310184080/(1x31)
LCM = 48449310184080/31
LCM = 1562880973680
Thus, we can understand that the LCM of 709,355,403,963,496 is 1562880973680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 709, 355, 403, 963, 496?
Answer: LCM of 709, 355, 403, 963, 496 is 1562880973680.
2. How to calculate the LCM of 709, 355, 403, 963, 496?
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 709, 355, 403, 963, 496.
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}.