LCM of 113, 985, 620, 300, 282
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 113, 985, 620, 300, 282 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 113, 985, 620, 300, 282. So, keep reading to learn more.
Given numbers are 113,985,620,300,282
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 113,985,620,300,282 is 9730283100.
Find LCM of 113,985,620,300,282 with Prime Factorization
| 2 | 113, 985, 620, 300, 282 |
| 2 | 113, 985, 310, 150, 141 |
| 3 | 113, 985, 155, 75, 141 |
| 5 | 113, 985, 155, 25, 47 |
| 113, 197, 31, 5, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 113 x 197 x 31 x 5 x 47 = 9730283100
Therefore, the lowest common multiple of 113,985,620,300,282 is 9730283100.
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.
113 x 985 x 620 x 300 x 282 = 5838169860000
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.
113 : 1, 113
985 : 1, 5, 197, 985
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
282 : 1, 2, 3, 6, 47, 94, 141, 282
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,985,620,300,282, is 1.
Now, the common factors can be found like this.
113:113
985:5x 197
620:2x 2x 5x 31
300:2x 2x 3x 5x 5
282:2x 3x 47
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 3x 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 5838169860000/(1x600)
LCM = 5838169860000/600
LCM = 9730283100
Thus, we can understand that the LCM of 113,985,620,300,282 is 9730283100.
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FAQs on LCM of 113, 985, 620, 300, 282
1. What is the LCM of 113, 985, 620, 300, 282?
Answer: LCM of 113, 985, 620, 300, 282 is 9730283100.
2. How to calculate the LCM of 113, 985, 620, 300, 282?
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 113, 985, 620, 300, 282.
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}.