LCM of 315, 561, 374, 594, 284
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 561, 374, 594, 284 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 315, 561, 374, 594, 284. So, keep reading to learn more.
Given numbers are 315,561,374,594,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,561,374,594,284 is 50187060.
Find LCM of 315,561,374,594,284 with Prime Factorization
| 2 | 315, 561, 374, 594, 284 |
| 3 | 315, 561, 187, 297, 142 |
| 3 | 105, 187, 187, 99, 142 |
| 11 | 35, 187, 187, 33, 142 |
| 17 | 35, 17, 17, 3, 142 |
| 35, 1, 1, 3, 142 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 17 x 35 x 1 x 1 x 3 x 142 = 50187060
Therefore, the lowest common multiple of 315,561,374,594,284 is 50187060.
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.
315 x 561 x 374 x 594 x 284 = 11149356501360
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
561 : 1, 3, 11, 17, 33, 51, 187, 561
374 : 1, 2, 11, 17, 22, 34, 187, 374
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
284 : 1, 2, 4, 71, 142, 284
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,561,374,594,284, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
561:3x 11x 17
374:2x 11x 17
594:2x 3x 3x 3x 11
284:2x 2x 71
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 3x 11x 11x 17 = 222156
Therefore, the value for common factors is 222156.
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 = 11149356501360/(1x222156)
LCM = 11149356501360/222156
LCM = 50187060
Thus, we can understand that the LCM of 315,561,374,594,284 is 50187060.
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FAQs on LCM of 315, 561, 374, 594, 284
1. What is the LCM of 315, 561, 374, 594, 284?
Answer: LCM of 315, 561, 374, 594, 284 is 50187060.
2. How to calculate the LCM of 315, 561, 374, 594, 284?
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 315, 561, 374, 594, 284.
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}.