LCM of 764, 314, 471, 654
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 764, 314, 471, 654 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, 314, 471, 654. So, keep reading to learn more.
Given numbers are 764,314,471,654
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 764,314,471,654 is 39222996.
Find LCM of 764,314,471,654 with Prime Factorization
| 2 | 764, 314, 471, 654 |
| 3 | 382, 157, 471, 327 |
| 157 | 382, 157, 157, 109 |
| 382, 1, 1, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 157 x 382 x 1 x 1 x 109 = 39222996
Therefore, the lowest common multiple of 764,314,471,654 is 39222996.
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 314 x 471 x 654 = 73896124464
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
314 : 1, 2, 157, 314
471 : 1, 3, 157, 471
654 : 1, 2, 3, 6, 109, 218, 327, 654
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,314,471,654, is 1.
Now, the common factors can be found like this.
764:2x 2x 191
314:2x 157
471:3x 157
654:2x 3x 109
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 3x 157 = 1884
Therefore, the value for common factors is 1884.
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 = 73896124464/(1x1884)
LCM = 73896124464/1884
LCM = 39222996
Thus, we can understand that the LCM of 764,314,471,654 is 39222996.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 764, 314, 471, 654
1. What is the LCM of 764, 314, 471, 654?
Answer: LCM of 764, 314, 471, 654 is 39222996.
2. How to calculate the LCM of 764, 314, 471, 654?
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, 314, 471, 654.
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}.