LCM of 248, 369, 210, 916, 224
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 248, 369, 210, 916, 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 248, 369, 210, 916, 224. So, keep reading to learn more.
Given numbers are 248,369,210,916,224
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 248,369,210,916,224 is 2933874720.
Find LCM of 248,369,210,916,224 with Prime Factorization
| 2 | 248, 369, 210, 916, 224 |
| 2 | 124, 369, 105, 458, 112 |
| 2 | 62, 369, 105, 229, 56 |
| 3 | 31, 369, 105, 229, 28 |
| 7 | 31, 123, 35, 229, 28 |
| 31, 123, 5, 229, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 31 x 123 x 5 x 229 x 4 = 2933874720
Therefore, the lowest common multiple of 248,369,210,916,224 is 2933874720.
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.
248 x 369 x 210 x 916 x 224 = 3943127623680
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.
248 : 1, 2, 4, 8, 31, 62, 124, 248
369 : 1, 3, 9, 41, 123, 369
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
916 : 1, 2, 4, 229, 458, 916
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 248,369,210,916,224, is 1.
Now, the common factors can be found like this.
248:2x 2x 2x 31
369:3x 3x 41
210:2x 3x 5x 7
916:2x 2x 229
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 2x 3x 7 = 1344
Therefore, the value for common factors is 1344.
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 = 3943127623680/(1x1344)
LCM = 3943127623680/1344
LCM = 2933874720
Thus, we can understand that the LCM of 248,369,210,916,224 is 2933874720.
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FAQs on LCM of 248, 369, 210, 916, 224
1. What is the LCM of 248, 369, 210, 916, 224?
Answer: LCM of 248, 369, 210, 916, 224 is 2933874720.
2. How to calculate the LCM of 248, 369, 210, 916, 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 248, 369, 210, 916, 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}.