Find the LCM of 781, 572, 351, 337, 351 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 781, 572, 351, 337, 351. So, keep reading to learn more.
Given numbers are 781,572,351,337,351
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,572,351,337,351 is 369528588.
Find LCM of 781,572,351,337,351 with Prime Factorization
3 | 781, 572, 351, 337, 351 |
3 | 781, 572, 117, 337, 117 |
3 | 781, 572, 39, 337, 39 |
11 | 781, 572, 13, 337, 13 |
13 | 71, 52, 13, 337, 13 |
71, 4, 1, 337, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 11 x 13 x 71 x 4 x 1 x 337 x 1 = 369528588
Therefore, the lowest common multiple of 781,572,351,337,351 is 369528588.
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.
781 x 572 x 351 x 337 x 351 = 18547748417484
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.
781 : 1, 11, 71, 781
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
351 : 1, 3, 9, 13, 27, 39, 117, 351
337 : 1, 337
351 : 1, 3, 9, 13, 27, 39, 117, 351
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,572,351,337,351, is 1.
Now, the common factors can be found like this.
781:11x 71
572:2x 2x 11x 13
351:3x 3x 3x 13
337:337
351:3x 3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 11x 13x 13 = 50193
Therefore, the value for common factors is 50193.
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 = 18547748417484/(1x50193)
LCM = 18547748417484/50193
LCM = 369528588
Thus, we can understand that the LCM of 781,572,351,337,351 is 369528588.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 781, 572, 351, 337, 351?
Answer: LCM of 781, 572, 351, 337, 351 is 369528588.
2. How to calculate the LCM of 781, 572, 351, 337, 351?
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 781, 572, 351, 337, 351.
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}.