Find the LCM of 322, 880, 437, 448, 142 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 322, 880, 437, 448, 142. So, keep reading to learn more.
Given numbers are 322,880,437,448,142
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,880,437,448,142 is 764505280.
Find LCM of 322,880,437,448,142 with Prime Factorization
2 | 322, 880, 437, 448, 142 |
2 | 161, 440, 437, 224, 71 |
2 | 161, 220, 437, 112, 71 |
2 | 161, 110, 437, 56, 71 |
7 | 161, 55, 437, 28, 71 |
23 | 23, 55, 437, 4, 71 |
1, 55, 19, 4, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 23 x 1 x 55 x 19 x 4 x 71 = 764505280
Therefore, the lowest common multiple of 322,880,437,448,142 is 764505280.
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.
322 x 880 x 437 x 448 x 142 = 7877462405120
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.
322 : 1, 2, 7, 14, 23, 46, 161, 322
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
437 : 1, 19, 23, 437
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
142 : 1, 2, 71, 142
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,880,437,448,142, is 1.
Now, the common factors can be found like this.
322:2x 7x 23
880:2x 2x 2x 2x 5x 11
437:19x 23
448:2x 2x 2x 2x 2x 2x 7
142:2x 71
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 2x 2x 2x 2x 7x 23 = 10304
Therefore, the value for common factors is 10304.
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 = 7877462405120/(1x10304)
LCM = 7877462405120/10304
LCM = 764505280
Thus, we can understand that the LCM of 322,880,437,448,142 is 764505280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 322, 880, 437, 448, 142?
Answer: LCM of 322, 880, 437, 448, 142 is 764505280.
2. How to calculate the LCM of 322, 880, 437, 448, 142?
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 322, 880, 437, 448, 142.
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}.