Find the LCM of 718, 702, 377, 883, 247 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 718, 702, 377, 883, 247. So, keep reading to learn more.
Given numbers are 718,702,377,883,247
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 718,702,377,883,247 is 122615073594.
Find LCM of 718,702,377,883,247 with Prime Factorization
2 | 718, 702, 377, 883, 247 |
13 | 359, 351, 377, 883, 247 |
359, 27, 29, 883, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 359 x 27 x 29 x 883 x 19 = 122615073594
Therefore, the lowest common multiple of 718,702,377,883,247 is 122615073594.
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.
718 x 702 x 377 x 883 x 247 = 41443894874772
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.
718 : 1, 2, 359, 718
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
377 : 1, 13, 29, 377
883 : 1, 883
247 : 1, 13, 19, 247
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 718,702,377,883,247, is 1.
Now, the common factors can be found like this.
718:2x 359
702:2x 3x 3x 3x 13
377:13x 29
883:883
247:13x 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 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 41443894874772/(1x338)
LCM = 41443894874772/338
LCM = 122615073594
Thus, we can understand that the LCM of 718,702,377,883,247 is 122615073594.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 718, 702, 377, 883, 247?
Answer: LCM of 718, 702, 377, 883, 247 is 122615073594.
2. How to calculate the LCM of 718, 702, 377, 883, 247?
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 718, 702, 377, 883, 247.
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}.