LCM of 497, 771, 284, 222
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 497, 771, 284, 222 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, 771, 284, 222. So, keep reading to learn more.
Given numbers are 497,771,284,222
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 497,771,284,222 is 56711676.
Find LCM of 497,771,284,222 with Prime Factorization
| 2 | 497, 771, 284, 222 |
| 3 | 497, 771, 142, 111 |
| 71 | 497, 257, 142, 37 |
| 7, 257, 2, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 71 x 7 x 257 x 2 x 37 = 56711676
Therefore, the lowest common multiple of 497,771,284,222 is 56711676.
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 771 x 284 x 222 = 24159173976
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
771 : 1, 3, 257, 771
284 : 1, 2, 4, 71, 142, 284
222 : 1, 2, 3, 6, 37, 74, 111, 222
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,771,284,222, is 1.
Now, the common factors can be found like this.
497:7x 71
771:3x 257
284:2x 2x 71
222:2x 3x 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 3x 71 = 426
Therefore, the value for common factors is 426.
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 = 24159173976/(1x426)
LCM = 24159173976/426
LCM = 56711676
Thus, we can understand that the LCM of 497,771,284,222 is 56711676.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 497, 771, 284, 222
1. What is the LCM of 497, 771, 284, 222?
Answer: LCM of 497, 771, 284, 222 is 56711676.
2. How to calculate the LCM of 497, 771, 284, 222?
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, 771, 284, 222.
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}.