LCM of 482, 209, 392, 174, 224
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 482, 209, 392, 174, 224 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 482, 209, 392, 174, 224. So, keep reading to learn more.
Given numbers are 482,209,392,174,224
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 482,209,392,174,224 is 6871137504.
Find LCM of 482,209,392,174,224 with Prime Factorization
| 2 | 482, 209, 392, 174, 224 |
| 2 | 241, 209, 196, 87, 112 |
| 2 | 241, 209, 98, 87, 56 |
| 7 | 241, 209, 49, 87, 28 |
| 241, 209, 7, 87, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 241 x 209 x 7 x 87 x 4 = 6871137504
Therefore, the lowest common multiple of 482,209,392,174,224 is 6871137504.
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.
482 x 209 x 392 x 174 x 224 = 1539134800896
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.
482 : 1, 2, 241, 482
209 : 1, 11, 19, 209
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
174 : 1, 2, 3, 6, 29, 58, 87, 174
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 482,209,392,174,224, is 1.
Now, the common factors can be found like this.
482:2x 241
209:11x 19
392:2x 2x 2x 7x 7
174:2x 3x 29
224:2x 2x 2x 2x 2x 7
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 7 = 224
Therefore, the value for common factors is 224.
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 = 1539134800896/(1x224)
LCM = 1539134800896/224
LCM = 6871137504
Thus, we can understand that the LCM of 482,209,392,174,224 is 6871137504.
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FAQs on LCM of 482, 209, 392, 174, 224
1. What is the LCM of 482, 209, 392, 174, 224?
Answer: LCM of 482, 209, 392, 174, 224 is 6871137504.
2. How to calculate the LCM of 482, 209, 392, 174, 224?
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 482, 209, 392, 174, 224.
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}.