LCM of 962, 300, 921, 588, 844
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 300, 921, 588, 844 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 962, 300, 921, 588, 844. So, keep reading to learn more.
Given numbers are 962,300,921,588,844
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,300,921,588,844 is 458018733900.
Find LCM of 962,300,921,588,844 with Prime Factorization
| 2 | 962, 300, 921, 588, 844 |
| 2 | 481, 150, 921, 294, 422 |
| 3 | 481, 75, 921, 147, 211 |
| 481, 25, 307, 49, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 481 x 25 x 307 x 49 x 211 = 458018733900
Therefore, the lowest common multiple of 962,300,921,588,844 is 458018733900.
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.
962 x 300 x 921 x 588 x 844 = 131909395363200
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.
962 : 1, 2, 13, 26, 37, 74, 481, 962
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
921 : 1, 3, 307, 921
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
844 : 1, 2, 4, 211, 422, 844
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,300,921,588,844, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
300:2x 2x 3x 5x 5
921:3x 307
588:2x 2x 3x 7x 7
844:2x 2x 211
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 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 131909395363200/(1x288)
LCM = 131909395363200/288
LCM = 458018733900
Thus, we can understand that the LCM of 962,300,921,588,844 is 458018733900.
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FAQs on LCM of 962, 300, 921, 588, 844
1. What is the LCM of 962, 300, 921, 588, 844?
Answer: LCM of 962, 300, 921, 588, 844 is 458018733900.
2. How to calculate the LCM of 962, 300, 921, 588, 844?
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 962, 300, 921, 588, 844.
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}.