LCM of 247, 280, 974, 248, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 280, 974, 248, 968 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 247, 280, 974, 248, 968. So, keep reading to learn more.
Given numbers are 247,280,974,248,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,280,974,248,968 is 126337130920.
Find LCM of 247,280,974,248,968 with Prime Factorization
| 2 | 247, 280, 974, 248, 968 |
| 2 | 247, 140, 487, 124, 484 |
| 2 | 247, 70, 487, 62, 242 |
| 247, 35, 487, 31, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 247 x 35 x 487 x 31 x 121 = 126337130920
Therefore, the lowest common multiple of 247,280,974,248,968 is 126337130920.
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.
247 x 280 x 974 x 248 x 968 = 16171152757760
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.
247 : 1, 13, 19, 247
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
974 : 1, 2, 487, 974
248 : 1, 2, 4, 8, 31, 62, 124, 248
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,280,974,248,968, is 1.
Now, the common factors can be found like this.
247:13x 19
280:2x 2x 2x 5x 7
974:2x 487
248:2x 2x 2x 31
968:2x 2x 2x 11x 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 2 = 128
Therefore, the value for common factors is 128.
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 = 16171152757760/(1x128)
LCM = 16171152757760/128
LCM = 126337130920
Thus, we can understand that the LCM of 247,280,974,248,968 is 126337130920.
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FAQs on LCM of 247, 280, 974, 248, 968
1. What is the LCM of 247, 280, 974, 248, 968?
Answer: LCM of 247, 280, 974, 248, 968 is 126337130920.
2. How to calculate the LCM of 247, 280, 974, 248, 968?
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 247, 280, 974, 248, 968.
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}.