LCM of 117, 456, 224, 283
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 117, 456, 224, 283 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 117, 456, 224, 283. So, keep reading to learn more.
Given numbers are 117,456,224,283
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 117,456,224,283 is 140920416.
Find LCM of 117,456,224,283 with Prime Factorization
| 2 | 117, 456, 224, 283 |
| 2 | 117, 228, 112, 283 |
| 2 | 117, 114, 56, 283 |
| 3 | 117, 57, 28, 283 |
| 39, 19, 28, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 39 x 19 x 28 x 283 = 140920416
Therefore, the lowest common multiple of 117,456,224,283 is 140920416.
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.
117 x 456 x 224 x 283 = 3382089984
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.
117 : 1, 3, 9, 13, 39, 117
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
283 : 1, 283
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,456,224,283, is 1.
Now, the common factors can be found like this.
117:3x 3x 13
456:2x 2x 2x 3x 19
224:2x 2x 2x 2x 2x 7
283:283
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 3 = 24
Therefore, the value for common factors is 24.
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 = 3382089984/(1x24)
LCM = 3382089984/24
LCM = 140920416
Thus, we can understand that the LCM of 117,456,224,283 is 140920416.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 117, 456, 224, 283
1. What is the LCM of 117, 456, 224, 283?
Answer: LCM of 117, 456, 224, 283 is 140920416.
2. How to calculate the LCM of 117, 456, 224, 283?
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 117, 456, 224, 283.
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}.