LCM of 341, 989, 220, 460, 100
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 341, 989, 220, 460, 100 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 341, 989, 220, 460, 100. So, keep reading to learn more.
Given numbers are 341,989,220,460,100
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,989,220,460,100 is 33724900.
Find LCM of 341,989,220,460,100 with Prime Factorization
| 2 | 341, 989, 220, 460, 100 |
| 2 | 341, 989, 110, 230, 50 |
| 5 | 341, 989, 55, 115, 25 |
| 11 | 341, 989, 11, 23, 5 |
| 23 | 31, 989, 1, 23, 5 |
| 31, 43, 1, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 23 x 31 x 43 x 1 x 1 x 5 = 33724900
Therefore, the lowest common multiple of 341,989,220,460,100 is 33724900.
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.
341 x 989 x 220 x 460 x 100 = 3412959880000
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.
341 : 1, 11, 31, 341
989 : 1, 23, 43, 989
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,989,220,460,100, is 1.
Now, the common factors can be found like this.
341:11x 31
989:23x 43
220:2x 2x 5x 11
460:2x 2x 5x 23
100:2x 2x 5x 5
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 5x 5x 11x 23 = 101200
Therefore, the value for common factors is 101200.
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 = 3412959880000/(1x101200)
LCM = 3412959880000/101200
LCM = 33724900
Thus, we can understand that the LCM of 341,989,220,460,100 is 33724900.
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FAQs on LCM of 341, 989, 220, 460, 100
1. What is the LCM of 341, 989, 220, 460, 100?
Answer: LCM of 341, 989, 220, 460, 100 is 33724900.
2. How to calculate the LCM of 341, 989, 220, 460, 100?
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 341, 989, 220, 460, 100.
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}.