LCM of 217, 308, 968, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 217, 308, 968, 735 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 217, 308, 968, 735. So, keep reading to learn more.
Given numbers are 217,308,968,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 217,308,968,735 is 22055880.
Find LCM of 217,308,968,735 with Prime Factorization
| 2 | 217, 308, 968, 735 |
| 2 | 217, 154, 484, 735 |
| 7 | 217, 77, 242, 735 |
| 11 | 31, 11, 242, 105 |
| 31, 1, 22, 105 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 31 x 1 x 22 x 105 = 22055880
Therefore, the lowest common multiple of 217,308,968,735 is 22055880.
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.
217 x 308 x 968 x 735 = 47552477280
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.
217 : 1, 7, 31, 217
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,308,968,735, is 1.
Now, the common factors can be found like this.
217:7x 31
308:2x 2x 7x 11
968:2x 2x 2x 11x 11
735:3x 5x 7x 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 7x 7x 11 = 2156
Therefore, the value for common factors is 2156.
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 = 47552477280/(1x2156)
LCM = 47552477280/2156
LCM = 22055880
Thus, we can understand that the LCM of 217,308,968,735 is 22055880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 217, 308, 968, 735
1. What is the LCM of 217, 308, 968, 735?
Answer: LCM of 217, 308, 968, 735 is 22055880.
2. How to calculate the LCM of 217, 308, 968, 735?
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 217, 308, 968, 735.
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}.