LCM of 420, 205, 779, 931
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 420, 205, 779, 931 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 420, 205, 779, 931. So, keep reading to learn more.
Given numbers are 420,205,779,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 420,205,779,931 is 2290260.
Find LCM of 420,205,779,931 with Prime Factorization
| 5 | 420, 205, 779, 931 |
| 7 | 84, 41, 779, 931 |
| 19 | 12, 41, 779, 133 |
| 41 | 12, 41, 41, 7 |
| 12, 1, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 19 x 41 x 12 x 1 x 1 x 7 = 2290260
Therefore, the lowest common multiple of 420,205,779,931 is 2290260.
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.
420 x 205 x 779 x 931 = 62443938900
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.
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
205 : 1, 5, 41, 205
779 : 1, 19, 41, 779
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,205,779,931, is 1.
Now, the common factors can be found like this.
420:2x 2x 3x 5x 7
205:5x 41
779:19x 41
931:7x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 19x 41 = 27265
Therefore, the value for common factors is 27265.
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 = 62443938900/(1x27265)
LCM = 62443938900/27265
LCM = 2290260
Thus, we can understand that the LCM of 420,205,779,931 is 2290260.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 420, 205, 779, 931
1. What is the LCM of 420, 205, 779, 931?
Answer: LCM of 420, 205, 779, 931 is 2290260.
2. How to calculate the LCM of 420, 205, 779, 931?
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 420, 205, 779, 931.
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}.