LCM of 284, 497, 411, 249, 274
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 284, 497, 411, 249, 274 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 284, 497, 411, 249, 274. So, keep reading to learn more.
Given numbers are 284,497,411,249,274
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 284,497,411,249,274 is 67816644.
Find LCM of 284,497,411,249,274 with Prime Factorization
| 2 | 284, 497, 411, 249, 274 |
| 3 | 142, 497, 411, 249, 137 |
| 71 | 142, 497, 137, 83, 137 |
| 137 | 2, 7, 137, 83, 137 |
| 2, 7, 1, 83, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 71 x 137 x 2 x 7 x 1 x 83 x 1 = 67816644
Therefore, the lowest common multiple of 284,497,411,249,274 is 67816644.
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.
284 x 497 x 411 x 249 x 274 = 3957914977128
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.
284 : 1, 2, 4, 71, 142, 284
497 : 1, 7, 71, 497
411 : 1, 3, 137, 411
249 : 1, 3, 83, 249
274 : 1, 2, 137, 274
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,497,411,249,274, is 1.
Now, the common factors can be found like this.
284:2x 2x 71
497:7x 71
411:3x 137
249:3x 83
274:2x 137
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 137 = 58362
Therefore, the value for common factors is 58362.
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 = 3957914977128/(1x58362)
LCM = 3957914977128/58362
LCM = 67816644
Thus, we can understand that the LCM of 284,497,411,249,274 is 67816644.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 284, 497, 411, 249, 274
1. What is the LCM of 284, 497, 411, 249, 274?
Answer: LCM of 284, 497, 411, 249, 274 is 67816644.
2. How to calculate the LCM of 284, 497, 411, 249, 274?
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 284, 497, 411, 249, 274.
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}.