LCM of 486, 822, 175, 504, 274
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 822, 175, 504, 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 486, 822, 175, 504, 274. So, keep reading to learn more.
Given numbers are 486,822,175,504,274
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,822,175,504,274 is 46607400.
Find LCM of 486,822,175,504,274 with Prime Factorization
| 2 | 486, 822, 175, 504, 274 |
| 3 | 243, 411, 175, 252, 137 |
| 3 | 81, 137, 175, 84, 137 |
| 7 | 27, 137, 175, 28, 137 |
| 137 | 27, 137, 25, 4, 137 |
| 27, 1, 25, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 137 x 27 x 1 x 25 x 4 x 1 = 46607400
Therefore, the lowest common multiple of 486,822,175,504,274 is 46607400.
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.
486 x 822 x 175 x 504 x 274 = 9654443265600
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.
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
822 : 1, 2, 3, 6, 137, 274, 411, 822
175 : 1, 5, 7, 25, 35, 175
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
274 : 1, 2, 137, 274
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,822,175,504,274, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
822:2x 3x 137
175:5x 5x 7
504:2x 2x 2x 3x 3x 7
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 2x 2x 3x 3x 3x 7x 137 = 207144
Therefore, the value for common factors is 207144.
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 = 9654443265600/(1x207144)
LCM = 9654443265600/207144
LCM = 46607400
Thus, we can understand that the LCM of 486,822,175,504,274 is 46607400.
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FAQs on LCM of 486, 822, 175, 504, 274
1. What is the LCM of 486, 822, 175, 504, 274?
Answer: LCM of 486, 822, 175, 504, 274 is 46607400.
2. How to calculate the LCM of 486, 822, 175, 504, 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 486, 822, 175, 504, 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}.