LCM of 764, 224, 969, 702, 162
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 764, 224, 969, 702, 162 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 764, 224, 969, 702, 162. So, keep reading to learn more.
Given numbers are 764,224,969,702,162
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 764,224,969,702,162 is 14551651296.
Find LCM of 764,224,969,702,162 with Prime Factorization
| 2 | 764, 224, 969, 702, 162 |
| 2 | 382, 112, 969, 351, 81 |
| 3 | 191, 56, 969, 351, 81 |
| 3 | 191, 56, 323, 117, 27 |
| 3 | 191, 56, 323, 39, 9 |
| 191, 56, 323, 13, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 191 x 56 x 323 x 13 x 3 = 14551651296
Therefore, the lowest common multiple of 764,224,969,702,162 is 14551651296.
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.
764 x 224 x 969 x 702 x 162 = 18858940079616
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.
764 : 1, 2, 4, 191, 382, 764
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
969 : 1, 3, 17, 19, 51, 57, 323, 969
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,224,969,702,162, is 1.
Now, the common factors can be found like this.
764:2x 2x 191
224:2x 2x 2x 2x 2x 7
969:3x 17x 19
702:2x 3x 3x 3x 13
162:2x 3x 3x 3x 3
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 3x 3x 3x 3 = 1296
Therefore, the value for common factors is 1296.
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 = 18858940079616/(1x1296)
LCM = 18858940079616/1296
LCM = 14551651296
Thus, we can understand that the LCM of 764,224,969,702,162 is 14551651296.
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FAQs on LCM of 764, 224, 969, 702, 162
1. What is the LCM of 764, 224, 969, 702, 162?
Answer: LCM of 764, 224, 969, 702, 162 is 14551651296.
2. How to calculate the LCM of 764, 224, 969, 702, 162?
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 764, 224, 969, 702, 162.
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}.