LCM of 497, 213, 657, 458, 916
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 497, 213, 657, 458, 916 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, 213, 657, 458, 916. So, keep reading to learn more.
Given numbers are 497,213,657,458,916
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 497,213,657,458,916 is 299100564.
Find LCM of 497,213,657,458,916 with Prime Factorization
| 2 | 497, 213, 657, 458, 916 |
| 3 | 497, 213, 657, 229, 458 |
| 71 | 497, 71, 219, 229, 458 |
| 229 | 7, 1, 219, 229, 458 |
| 7, 1, 219, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 71 x 229 x 7 x 1 x 219 x 1 x 2 = 299100564
Therefore, the lowest common multiple of 497,213,657,458,916 is 299100564.
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 213 x 657 x 458 x 916 = 29178456420456
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
213 : 1, 3, 71, 213
657 : 1, 3, 9, 73, 219, 657
458 : 1, 2, 229, 458
916 : 1, 2, 4, 229, 458, 916
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,213,657,458,916, is 1.
Now, the common factors can be found like this.
497:7x 71
213:3x 71
657:3x 3x 73
458:2x 229
916:2x 2x 229
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 71x 229 = 97554
Therefore, the value for common factors is 97554.
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 = 29178456420456/(1x97554)
LCM = 29178456420456/97554
LCM = 299100564
Thus, we can understand that the LCM of 497,213,657,458,916 is 299100564.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 497, 213, 657, 458, 916
1. What is the LCM of 497, 213, 657, 458, 916?
Answer: LCM of 497, 213, 657, 458, 916 is 299100564.
2. How to calculate the LCM of 497, 213, 657, 458, 916?
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, 213, 657, 458, 916.
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}.