LCM of 459, 400, 577, 676, 962
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 400, 577, 676, 962 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 459, 400, 577, 676, 962. So, keep reading to learn more.
Given numbers are 459,400,577,676,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,400,577,676,962 is 662425311600.
Find LCM of 459,400,577,676,962 with Prime Factorization
| 2 | 459, 400, 577, 676, 962 |
| 2 | 459, 200, 577, 338, 481 |
| 13 | 459, 100, 577, 169, 481 |
| 459, 100, 577, 13, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 459 x 100 x 577 x 13 x 37 = 662425311600
Therefore, the lowest common multiple of 459,400,577,676,962 is 662425311600.
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.
459 x 400 x 577 x 676 x 962 = 68892232406400
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
577 : 1, 577
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,400,577,676,962, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
400:2x 2x 2x 2x 5x 5
577:577
676:2x 2x 13x 13
962:2x 13x 37
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 13 = 104
Therefore, the value for common factors is 104.
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 = 68892232406400/(1x104)
LCM = 68892232406400/104
LCM = 662425311600
Thus, we can understand that the LCM of 459,400,577,676,962 is 662425311600.
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FAQs on LCM of 459, 400, 577, 676, 962
1. What is the LCM of 459, 400, 577, 676, 962?
Answer: LCM of 459, 400, 577, 676, 962 is 662425311600.
2. How to calculate the LCM of 459, 400, 577, 676, 962?
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 459, 400, 577, 676, 962.
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}.