LCM of 472, 360, 288, 688, 284
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 472, 360, 288, 688, 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 472, 360, 288, 688, 284. So, keep reading to learn more.
Given numbers are 472,360,288,688,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 472,360,288,688,284 is 259382880.
Find LCM of 472,360,288,688,284 with Prime Factorization
| 2 | 472, 360, 288, 688, 284 |
| 2 | 236, 180, 144, 344, 142 |
| 2 | 118, 90, 72, 172, 71 |
| 2 | 59, 45, 36, 86, 71 |
| 3 | 59, 45, 18, 43, 71 |
| 3 | 59, 15, 6, 43, 71 |
| 59, 5, 2, 43, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 59 x 5 x 2 x 43 x 71 = 259382880
Therefore, the lowest common multiple of 472,360,288,688,284 is 259382880.
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.
472 x 360 x 288 x 688 x 284 = 9561890488320
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.
472 : 1, 2, 4, 8, 59, 118, 236, 472
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
284 : 1, 2, 4, 71, 142, 284
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 472,360,288,688,284, is 4.
Now, the common factors can be found like this.
472:2x 2x 2x 59
360:2x 2x 2x 3x 3x 5
288:2x 2x 2x 2x 2x 3x 3
688:2x 2x 2x 2x 43
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 2x 2x 2x 2x 2x 2x 2x 2x 3x 3 = 9216
Therefore, the value for common factors is 9216.
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 = 9561890488320/(4x9216)
LCM = 9561890488320/36864
LCM = 259382880
Thus, we can understand that the LCM of 472,360,288,688,284 is 259382880.
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FAQs on LCM of 472, 360, 288, 688, 284
1. What is the LCM of 472, 360, 288, 688, 284?
Answer: LCM of 472, 360, 288, 688, 284 is 259382880.
2. How to calculate the LCM of 472, 360, 288, 688, 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 472, 360, 288, 688, 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}.