LCM of 233, 507, 374, 493, 801
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 233, 507, 374, 493, 801 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 233, 507, 374, 493, 801. So, keep reading to learn more.
Given numbers are 233,507,374,493,801
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 233,507,374,493,801 is 342093436542.
Find LCM of 233,507,374,493,801 with Prime Factorization
| 3 | 233, 507, 374, 493, 801 |
| 17 | 233, 169, 374, 493, 267 |
| 233, 169, 22, 29, 267 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 233 x 169 x 22 x 29 x 267 = 342093436542
Therefore, the lowest common multiple of 233,507,374,493,801 is 342093436542.
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.
233 x 507 x 374 x 493 x 801 = 17446765263642
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.
233 : 1, 233
507 : 1, 3, 13, 39, 169, 507
374 : 1, 2, 11, 17, 22, 34, 187, 374
493 : 1, 17, 29, 493
801 : 1, 3, 9, 89, 267, 801
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 233,507,374,493,801, is 1.
Now, the common factors can be found like this.
233:233
507:3x 13x 13
374:2x 11x 17
493:17x 29
801:3x 3x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 17 = 51
Therefore, the value for common factors is 51.
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 = 17446765263642/(1x51)
LCM = 17446765263642/51
LCM = 342093436542
Thus, we can understand that the LCM of 233,507,374,493,801 is 342093436542.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 233, 507, 374, 493, 801
1. What is the LCM of 233, 507, 374, 493, 801?
Answer: LCM of 233, 507, 374, 493, 801 is 342093436542.
2. How to calculate the LCM of 233, 507, 374, 493, 801?
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 233, 507, 374, 493, 801.
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}.