LCM of 946, 394, 380, 430, 667
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 946, 394, 380, 430, 667 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 946, 394, 380, 430, 667. So, keep reading to learn more.
Given numbers are 946,394,380,430,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 946,394,380,430,667 is 23617656260.
Find LCM of 946,394,380,430,667 with Prime Factorization
| 2 | 946, 394, 380, 430, 667 |
| 5 | 473, 197, 190, 215, 667 |
| 43 | 473, 197, 38, 43, 667 |
| 11, 197, 38, 1, 667 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 43 x 11 x 197 x 38 x 1 x 667 = 23617656260
Therefore, the lowest common multiple of 946,394,380,430,667 is 23617656260.
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.
946 x 394 x 380 x 430 x 667 = 40622368767200
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.
946 : 1, 2, 11, 22, 43, 86, 473, 946
394 : 1, 2, 197, 394
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
430 : 1, 2, 5, 10, 43, 86, 215, 430
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,394,380,430,667, is 1.
Now, the common factors can be found like this.
946:2x 11x 43
394:2x 197
380:2x 2x 5x 19
430:2x 5x 43
667:23x 29
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 5x 43 = 1720
Therefore, the value for common factors is 1720.
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 = 40622368767200/(1x1720)
LCM = 40622368767200/1720
LCM = 23617656260
Thus, we can understand that the LCM of 946,394,380,430,667 is 23617656260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 946, 394, 380, 430, 667
1. What is the LCM of 946, 394, 380, 430, 667?
Answer: LCM of 946, 394, 380, 430, 667 is 23617656260.
2. How to calculate the LCM of 946, 394, 380, 430, 667?
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 946, 394, 380, 430, 667.
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}.