Find the LCM of 879, 472, 407, 590 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 879, 472, 407, 590. So, keep reading to learn more.
Given numbers are 879,472,407,590
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 879,472,407,590 is 844297080.
Find LCM of 879,472,407,590 with Prime Factorization
2 | 879, 472, 407, 590 |
59 | 879, 236, 407, 295 |
879, 4, 407, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 59 x 879 x 4 x 407 x 5 = 844297080
Therefore, the lowest common multiple of 879,472,407,590 is 844297080.
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.
879 x 472 x 407 x 590 = 99627055440
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.
879 : 1, 3, 293, 879
472 : 1, 2, 4, 8, 59, 118, 236, 472
407 : 1, 11, 37, 407
590 : 1, 2, 5, 10, 59, 118, 295, 590
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,472,407,590, is 1.
Now, the common factors can be found like this.
879:3x 293
472:2x 2x 2x 59
407:11x 37
590:2x 5x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 59 = 118
Therefore, the value for common factors is 118.
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 = 99627055440/(1x118)
LCM = 99627055440/118
LCM = 844297080
Thus, we can understand that the LCM of 879,472,407,590 is 844297080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 879, 472, 407, 590?
Answer: LCM of 879, 472, 407, 590 is 844297080.
2. How to calculate the LCM of 879, 472, 407, 590?
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 879, 472, 407, 590.
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}.