LCM of 296, 578, 206, 748, 440
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 296, 578, 206, 748, 440 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 296, 578, 206, 748, 440. So, keep reading to learn more.
Given numbers are 296,578,206,748,440
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 296,578,206,748,440 is 484606760.
Find LCM of 296,578,206,748,440 with Prime Factorization
| 2 | 296, 578, 206, 748, 440 |
| 2 | 148, 289, 103, 374, 220 |
| 2 | 74, 289, 103, 187, 110 |
| 11 | 37, 289, 103, 187, 55 |
| 17 | 37, 289, 103, 17, 5 |
| 37, 1, 103, 17, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 17 x 37 x 1 x 103 x 17 x 5 = 484606760
Therefore, the lowest common multiple of 296,578,206,748,440 is 484606760.
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.
296 x 578 x 206 x 748 x 440 = 11599547407360
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.
296 : 1, 2, 4, 8, 37, 74, 148, 296
578 : 1, 2, 17, 34, 289, 578
206 : 1, 2, 103, 206
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,578,206,748,440, is 2.
Now, the common factors can be found like this.
296:2x 2x 2x 37
578:2x 17x 17
206:2x 103
748:2x 2x 11x 17
440:2x 2x 2x 5x 11
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 11x 17 = 11968
Therefore, the value for common factors is 11968.
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 = 11599547407360/(2x11968)
LCM = 11599547407360/23936
LCM = 484606760
Thus, we can understand that the LCM of 296,578,206,748,440 is 484606760.
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FAQs on LCM of 296, 578, 206, 748, 440
1. What is the LCM of 296, 578, 206, 748, 440?
Answer: LCM of 296, 578, 206, 748, 440 is 484606760.
2. How to calculate the LCM of 296, 578, 206, 748, 440?
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 296, 578, 206, 748, 440.
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}.