LCM of 831, 294, 554, 671, 594
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 831, 294, 554, 671, 594 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 831, 294, 554, 671, 594. So, keep reading to learn more.
Given numbers are 831,294,554,671,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 831,294,554,671,594 is 491804082.
Find LCM of 831,294,554,671,594 with Prime Factorization
| 2 | 831, 294, 554, 671, 594 |
| 3 | 831, 147, 277, 671, 297 |
| 11 | 277, 49, 277, 671, 99 |
| 277 | 277, 49, 277, 61, 9 |
| 1, 49, 1, 61, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 277 x 1 x 49 x 1 x 61 x 9 = 491804082
Therefore, the lowest common multiple of 831,294,554,671,594 is 491804082.
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.
831 x 294 x 554 x 671 x 594 = 53946973362744
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.
831 : 1, 3, 277, 831
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
554 : 1, 2, 277, 554
671 : 1, 11, 61, 671
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,294,554,671,594, is 1.
Now, the common factors can be found like this.
831:3x 277
294:2x 3x 7x 7
554:2x 277
671:11x 61
594:2x 3x 3x 3x 11
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 3x 11x 277 = 109692
Therefore, the value for common factors is 109692.
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 = 53946973362744/(1x109692)
LCM = 53946973362744/109692
LCM = 491804082
Thus, we can understand that the LCM of 831,294,554,671,594 is 491804082.
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FAQs on LCM of 831, 294, 554, 671, 594
1. What is the LCM of 831, 294, 554, 671, 594?
Answer: LCM of 831, 294, 554, 671, 594 is 491804082.
2. How to calculate the LCM of 831, 294, 554, 671, 594?
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 831, 294, 554, 671, 594.
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}.