Find the LCM of 596, 470, 787, 969, 119 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 596, 470, 787, 969, 119. So, keep reading to learn more.
Given numbers are 596,470,787,969,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,470,787,969,119 is 747671233260.
Find LCM of 596,470,787,969,119 with Prime Factorization
2 | 596, 470, 787, 969, 119 |
17 | 298, 235, 787, 969, 119 |
298, 235, 787, 57, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 298 x 235 x 787 x 57 x 7 = 747671233260
Therefore, the lowest common multiple of 596,470,787,969,119 is 747671233260.
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.
596 x 470 x 787 x 969 x 119 = 25420821930840
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.
596 : 1, 2, 4, 149, 298, 596
470 : 1, 2, 5, 10, 47, 94, 235, 470
787 : 1, 787
969 : 1, 3, 17, 19, 51, 57, 323, 969
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,470,787,969,119, is 1.
Now, the common factors can be found like this.
596:2x 2x 149
470:2x 5x 47
787:787
969:3x 17x 19
119:7x 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 17 = 34
Therefore, the value for common factors is 34.
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 = 25420821930840/(1x34)
LCM = 25420821930840/34
LCM = 747671233260
Thus, we can understand that the LCM of 596,470,787,969,119 is 747671233260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 596, 470, 787, 969, 119?
Answer: LCM of 596, 470, 787, 969, 119 is 747671233260.
2. How to calculate the LCM of 596, 470, 787, 969, 119?
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 596, 470, 787, 969, 119.
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}.