LCM of 498, 460, 294, 413, 223
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 498, 460, 294, 413, 223 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 498, 460, 294, 413, 223. So, keep reading to learn more.
Given numbers are 498,460,294,413,223
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 498,460,294,413,223 is 73843136220.
Find LCM of 498,460,294,413,223 with Prime Factorization
| 2 | 498, 460, 294, 413, 223 |
| 3 | 249, 230, 147, 413, 223 |
| 7 | 83, 230, 49, 413, 223 |
| 83, 230, 7, 59, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 83 x 230 x 7 x 59 x 223 = 73843136220
Therefore, the lowest common multiple of 498,460,294,413,223 is 73843136220.
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.
498 x 460 x 294 x 413 x 223 = 6202823442480
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.
498 : 1, 2, 3, 6, 83, 166, 249, 498
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
413 : 1, 7, 59, 413
223 : 1, 223
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,460,294,413,223, is 1.
Now, the common factors can be found like this.
498:2x 3x 83
460:2x 2x 5x 23
294:2x 3x 7x 7
413:7x 59
223:223
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 7 = 84
Therefore, the value for common factors is 84.
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 = 6202823442480/(1x84)
LCM = 6202823442480/84
LCM = 73843136220
Thus, we can understand that the LCM of 498,460,294,413,223 is 73843136220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 498, 460, 294, 413, 223
1. What is the LCM of 498, 460, 294, 413, 223?
Answer: LCM of 498, 460, 294, 413, 223 is 73843136220.
2. How to calculate the LCM of 498, 460, 294, 413, 223?
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 498, 460, 294, 413, 223.
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}.