LCM of 694, 822, 746, 102, 176
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 694, 822, 746, 102, 176 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 694, 822, 746, 102, 176. So, keep reading to learn more.
Given numbers are 694,822,746,102,176
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,822,746,102,176 is 159162853872.
Find LCM of 694,822,746,102,176 with Prime Factorization
| 2 | 694, 822, 746, 102, 176 |
| 3 | 347, 411, 373, 51, 88 |
| 347, 137, 373, 17, 88 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 347 x 137 x 373 x 17 x 88 = 159162853872
Therefore, the lowest common multiple of 694,822,746,102,176 is 159162853872.
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.
694 x 822 x 746 x 102 x 176 = 7639816985856
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.
694 : 1, 2, 347, 694
822 : 1, 2, 3, 6, 137, 274, 411, 822
746 : 1, 2, 373, 746
102 : 1, 2, 3, 6, 17, 34, 51, 102
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,822,746,102,176, is 2.
Now, the common factors can be found like this.
694:2x 347
822:2x 3x 137
746:2x 373
102:2x 3x 17
176:2x 2x 2x 2x 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 3 = 24
Therefore, the value for common factors is 24.
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 = 7639816985856/(2x24)
LCM = 7639816985856/48
LCM = 159162853872
Thus, we can understand that the LCM of 694,822,746,102,176 is 159162853872.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 694, 822, 746, 102, 176
1. What is the LCM of 694, 822, 746, 102, 176?
Answer: LCM of 694, 822, 746, 102, 176 is 159162853872.
2. How to calculate the LCM of 694, 822, 746, 102, 176?
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 694, 822, 746, 102, 176.
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}.