Find the LCM of 364, 523, 735, 777, 656 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 364, 523, 735, 777, 656. So, keep reading to learn more.
Given numbers are 364,523,735,777,656
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 364,523,735,777,656 is 121293616080.
Find LCM of 364,523,735,777,656 with Prime Factorization
2 | 364, 523, 735, 777, 656 |
2 | 182, 523, 735, 777, 328 |
3 | 91, 523, 735, 777, 164 |
7 | 91, 523, 245, 259, 164 |
13, 523, 35, 37, 164 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 523 x 35 x 37 x 164 = 121293616080
Therefore, the lowest common multiple of 364,523,735,777,656 is 121293616080.
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.
364 x 523 x 735 x 777 x 656 = 71320646255040
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.
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
523 : 1, 523
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
777 : 1, 3, 7, 21, 37, 111, 259, 777
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,523,735,777,656, is 1.
Now, the common factors can be found like this.
364:2x 2x 7x 13
523:523
735:3x 5x 7x 7
777:3x 7x 37
656:2x 2x 2x 2x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 7x 7 = 588
Therefore, the value for common factors is 588.
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 = 71320646255040/(1x588)
LCM = 71320646255040/588
LCM = 121293616080
Thus, we can understand that the LCM of 364,523,735,777,656 is 121293616080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 364, 523, 735, 777, 656?
Answer: LCM of 364, 523, 735, 777, 656 is 121293616080.
2. How to calculate the LCM of 364, 523, 735, 777, 656?
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 364, 523, 735, 777, 656.
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}.