LCM of 421, 421, 893, 940, 228
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 421, 421, 893, 940, 228 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, 421, 893, 940, 228. So, keep reading to learn more.
Given numbers are 421,421,893,940,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 421,421,893,940,228 is 22557180.
Find LCM of 421,421,893,940,228 with Prime Factorization
| 2 | 421, 421, 893, 940, 228 |
| 2 | 421, 421, 893, 470, 114 |
| 19 | 421, 421, 893, 235, 57 |
| 47 | 421, 421, 47, 235, 3 |
| 421 | 421, 421, 1, 5, 3 |
| 1, 1, 1, 5, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 47 x 421 x 1 x 1 x 1 x 5 x 3 = 22557180
Therefore, the lowest common multiple of 421,421,893,940,228 is 22557180.
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 421 x 893 x 940 x 228 = 33921757970160
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
421 : 1, 421
893 : 1, 19, 47, 893
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,421,893,940,228, is 1.
Now, the common factors can be found like this.
421:421
421:421
893:19x 47
940:2x 2x 5x 47
228:2x 2x 3x 19
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 19x 47x 421 = 1503812
Therefore, the value for common factors is 1503812.
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 = 33921757970160/(1x1503812)
LCM = 33921757970160/1503812
LCM = 22557180
Thus, we can understand that the LCM of 421,421,893,940,228 is 22557180.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 421, 421, 893, 940, 228
1. What is the LCM of 421, 421, 893, 940, 228?
Answer: LCM of 421, 421, 893, 940, 228 is 22557180.
2. How to calculate the LCM of 421, 421, 893, 940, 228?
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, 421, 893, 940, 228.
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}.