LCM of 294, 277, 705, 938, 490
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 294, 277, 705, 938, 490 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 294, 277, 705, 938, 490. So, keep reading to learn more.
Given numbers are 294,277,705,938,490
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 294,277,705,938,490 is 1282241310.
Find LCM of 294,277,705,938,490 with Prime Factorization
| 2 | 294, 277, 705, 938, 490 |
| 3 | 147, 277, 705, 469, 245 |
| 5 | 49, 277, 235, 469, 245 |
| 7 | 49, 277, 47, 469, 49 |
| 7 | 7, 277, 47, 67, 7 |
| 1, 277, 47, 67, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 7 x 1 x 277 x 47 x 67 x 1 = 1282241310
Therefore, the lowest common multiple of 294,277,705,938,490 is 1282241310.
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.
294 x 277 x 705 x 938 x 490 = 26388526159800
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.
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
277 : 1, 277
705 : 1, 3, 5, 15, 47, 141, 235, 705
938 : 1, 2, 7, 14, 67, 134, 469, 938
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,277,705,938,490, is 1.
Now, the common factors can be found like this.
294:2x 3x 7x 7
277:277
705:3x 5x 47
938:2x 7x 67
490:2x 5x 7x 7
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 5x 7x 7x 7 = 20580
Therefore, the value for common factors is 20580.
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 = 26388526159800/(1x20580)
LCM = 26388526159800/20580
LCM = 1282241310
Thus, we can understand that the LCM of 294,277,705,938,490 is 1282241310.
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FAQs on LCM of 294, 277, 705, 938, 490
1. What is the LCM of 294, 277, 705, 938, 490?
Answer: LCM of 294, 277, 705, 938, 490 is 1282241310.
2. How to calculate the LCM of 294, 277, 705, 938, 490?
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 294, 277, 705, 938, 490.
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}.