LCM of 306, 968, 915, 396, 681
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 306, 968, 915, 396, 681 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 306, 968, 915, 396, 681. So, keep reading to learn more.
Given numbers are 306,968,915,396,681
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 306,968,915,396,681 is 10253980440.
Find LCM of 306,968,915,396,681 with Prime Factorization
| 2 | 306, 968, 915, 396, 681 |
| 2 | 153, 484, 915, 198, 681 |
| 3 | 153, 242, 915, 99, 681 |
| 3 | 51, 242, 305, 33, 227 |
| 11 | 17, 242, 305, 11, 227 |
| 17, 22, 305, 1, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 17 x 22 x 305 x 1 x 227 = 10253980440
Therefore, the lowest common multiple of 306,968,915,396,681 is 10253980440.
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.
306 x 968 x 915 x 396 x 681 = 73090372576320
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.
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
915 : 1, 3, 5, 15, 61, 183, 305, 915
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
681 : 1, 3, 227, 681
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,968,915,396,681, is 1.
Now, the common factors can be found like this.
306:2x 3x 3x 17
968:2x 2x 2x 11x 11
915:3x 5x 61
396:2x 2x 3x 3x 11
681:3x 227
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 3x 3x 3x 3x 11 = 7128
Therefore, the value for common factors is 7128.
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 = 73090372576320/(1x7128)
LCM = 73090372576320/7128
LCM = 10253980440
Thus, we can understand that the LCM of 306,968,915,396,681 is 10253980440.
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FAQs on LCM of 306, 968, 915, 396, 681
1. What is the LCM of 306, 968, 915, 396, 681?
Answer: LCM of 306, 968, 915, 396, 681 is 10253980440.
2. How to calculate the LCM of 306, 968, 915, 396, 681?
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 306, 968, 915, 396, 681.
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}.