Find the LCM of 421, 879, 998, 955, 594 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 421, 879, 998, 955, 594. So, keep reading to learn more.
Given numbers are 421,879,998,955,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 421,879,998,955,594 is 34917253698690.
Find LCM of 421,879,998,955,594 with Prime Factorization
2 | 421, 879, 998, 955, 594 |
3 | 421, 879, 499, 955, 297 |
421, 293, 499, 955, 99 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 421 x 293 x 499 x 955 x 99 = 34917253698690
Therefore, the lowest common multiple of 421,879,998,955,594 is 34917253698690.
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.
421 x 879 x 998 x 955 x 594 = 209503522192140
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.
421 : 1, 421
879 : 1, 3, 293, 879
998 : 1, 2, 499, 998
955 : 1, 5, 191, 955
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,879,998,955,594, is 1.
Now, the common factors can be found like this.
421:421
879:3x 293
998:2x 499
955:5x 191
594:2x 3x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 209503522192140/(1x6)
LCM = 209503522192140/6
LCM = 34917253698690
Thus, we can understand that the LCM of 421,879,998,955,594 is 34917253698690.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 421, 879, 998, 955, 594?
Answer: LCM of 421, 879, 998, 955, 594 is 34917253698690.
2. How to calculate the LCM of 421, 879, 998, 955, 594?
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 421, 879, 998, 955, 594.
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}.