LCM of 497, 382, 832, 191, 423
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 497, 382, 832, 191, 423 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 497, 382, 832, 191, 423. So, keep reading to learn more.
Given numbers are 497,382,832,191,423
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 497,382,832,191,423 is 33408228672.
Find LCM of 497,382,832,191,423 with Prime Factorization
| 2 | 497, 382, 832, 191, 423 |
| 191 | 497, 191, 416, 191, 423 |
| 497, 1, 416, 1, 423 |
Multiply the prime numbers at the bottom and the left side.
2 x 191 x 497 x 1 x 416 x 1 x 423 = 33408228672
Therefore, the lowest common multiple of 497,382,832,191,423 is 33408228672.
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.
497 x 382 x 832 x 191 x 423 = 12761943352704
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.
497 : 1, 7, 71, 497
382 : 1, 2, 191, 382
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
191 : 1, 191
423 : 1, 3, 9, 47, 141, 423
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,382,832,191,423, is 1.
Now, the common factors can be found like this.
497:7x 71
382:2x 191
832:2x 2x 2x 2x 2x 2x 13
191:191
423:3x 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 191 = 382
Therefore, the value for common factors is 382.
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 = 12761943352704/(1x382)
LCM = 12761943352704/382
LCM = 33408228672
Thus, we can understand that the LCM of 497,382,832,191,423 is 33408228672.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 497, 382, 832, 191, 423
1. What is the LCM of 497, 382, 832, 191, 423?
Answer: LCM of 497, 382, 832, 191, 423 is 33408228672.
2. How to calculate the LCM of 497, 382, 832, 191, 423?
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 497, 382, 832, 191, 423.
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}.