LCM of 835, 493, 445, 523, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 835, 493, 445, 523, 456 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 835, 493, 445, 523, 456. So, keep reading to learn more.
Given numbers are 835,493,445,523,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 835,493,445,523,456 is 8737555209960.
Find LCM of 835,493,445,523,456 with Prime Factorization
| 5 | 835, 493, 445, 523, 456 |
| 167, 493, 89, 523, 456 |
Multiply the prime numbers at the bottom and the left side.
5 x 167 x 493 x 89 x 523 x 456 = 8737555209960
Therefore, the lowest common multiple of 835,493,445,523,456 is 8737555209960.
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.
835 x 493 x 445 x 523 x 456 = 43687776049800
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.
835 : 1, 5, 167, 835
493 : 1, 17, 29, 493
445 : 1, 5, 89, 445
523 : 1, 523
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,493,445,523,456, is 1.
Now, the common factors can be found like this.
835:5x 167
493:17x 29
445:5x 89
523:523
456:2x 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.
5 = 5
Therefore, the value for common factors is 5.
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 = 43687776049800/(1x5)
LCM = 43687776049800/5
LCM = 8737555209960
Thus, we can understand that the LCM of 835,493,445,523,456 is 8737555209960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 835, 493, 445, 523, 456
1. What is the LCM of 835, 493, 445, 523, 456?
Answer: LCM of 835, 493, 445, 523, 456 is 8737555209960.
2. How to calculate the LCM of 835, 493, 445, 523, 456?
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 835, 493, 445, 523, 456.
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}.