Find the LCM of 359, 822, 791, 274, 680 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 359, 822, 791, 274, 680. So, keep reading to learn more.
Given numbers are 359,822,791,274,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 359,822,791,274,680 is 79363656120.
Find LCM of 359,822,791,274,680 with Prime Factorization
2 | 359, 822, 791, 274, 680 |
137 | 359, 411, 791, 137, 340 |
359, 3, 791, 1, 340 |
Multiply the prime numbers at the bottom and the left side.
2 x 137 x 359 x 3 x 791 x 1 x 340 = 79363656120
Therefore, the lowest common multiple of 359,822,791,274,680 is 79363656120.
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.
359 x 822 x 791 x 274 x 680 = 43491283553760
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.
359 : 1, 359
822 : 1, 2, 3, 6, 137, 274, 411, 822
791 : 1, 7, 113, 791
274 : 1, 2, 137, 274
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,822,791,274,680, is 1.
Now, the common factors can be found like this.
359:359
822:2x 3x 137
791:7x 113
274:2x 137
680:2x 2x 2x 5x 17
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 137 = 548
Therefore, the value for common factors is 548.
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 = 43491283553760/(1x548)
LCM = 43491283553760/548
LCM = 79363656120
Thus, we can understand that the LCM of 359,822,791,274,680 is 79363656120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 359, 822, 791, 274, 680?
Answer: LCM of 359, 822, 791, 274, 680 is 79363656120.
2. How to calculate the LCM of 359, 822, 791, 274, 680?
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 359, 822, 791, 274, 680.
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}.