LCM of 772, 376, 306, 189
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 772, 376, 306, 189 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 772, 376, 306, 189. So, keep reading to learn more.
Given numbers are 772,376,306,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,376,306,189 is 233160984.
Find LCM of 772,376,306,189 with Prime Factorization
| 2 | 772, 376, 306, 189 |
| 2 | 386, 188, 153, 189 |
| 3 | 193, 94, 153, 189 |
| 3 | 193, 94, 51, 63 |
| 193, 94, 17, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 193 x 94 x 17 x 21 = 233160984
Therefore, the lowest common multiple of 772,376,306,189 is 233160984.
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.
772 x 376 x 306 x 189 = 16787590848
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.
772 : 1, 2, 4, 193, 386, 772
376 : 1, 2, 4, 8, 47, 94, 188, 376
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,376,306,189, is 1.
Now, the common factors can be found like this.
772:2x 2x 193
376:2x 2x 2x 47
306:2x 3x 3x 17
189:3x 3x 3x 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 2x 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 16787590848/(1x72)
LCM = 16787590848/72
LCM = 233160984
Thus, we can understand that the LCM of 772,376,306,189 is 233160984.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 772, 376, 306, 189
1. What is the LCM of 772, 376, 306, 189?
Answer: LCM of 772, 376, 306, 189 is 233160984.
2. How to calculate the LCM of 772, 376, 306, 189?
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 772, 376, 306, 189.
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}.