Find the LCM of 832, 289, 420, 759, 876 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 832, 289, 420, 759, 876. So, keep reading to learn more.
Given numbers are 832,289,420,759,876
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 832,289,420,759,876 is 466287581760.
Find LCM of 832,289,420,759,876 with Prime Factorization
2 | 832, 289, 420, 759, 876 |
2 | 416, 289, 210, 759, 438 |
3 | 208, 289, 105, 759, 219 |
208, 289, 35, 253, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 208 x 289 x 35 x 253 x 73 = 466287581760
Therefore, the lowest common multiple of 832,289,420,759,876 is 466287581760.
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.
832 x 289 x 420 x 759 x 876 = 67145411773440
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.
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
289 : 1, 17, 289
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
759 : 1, 3, 11, 23, 33, 69, 253, 759
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 832,289,420,759,876, is 1.
Now, the common factors can be found like this.
832:2x 2x 2x 2x 2x 2x 13
289:17x 17
420:2x 2x 3x 5x 7
759:3x 11x 23
876:2x 2x 3x 73
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 67145411773440/(1x144)
LCM = 67145411773440/144
LCM = 466287581760
Thus, we can understand that the LCM of 832,289,420,759,876 is 466287581760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 832, 289, 420, 759, 876?
Answer: LCM of 832, 289, 420, 759, 876 is 466287581760.
2. How to calculate the LCM of 832, 289, 420, 759, 876?
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 832, 289, 420, 759, 876.
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}.