LCM of 380, 306, 948, 731
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 380, 306, 948, 731 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 380, 306, 948, 731. So, keep reading to learn more.
Given numbers are 380,306,948,731
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,306,948,731 is 197501580.
Find LCM of 380,306,948,731 with Prime Factorization
| 2 | 380, 306, 948, 731 |
| 2 | 190, 153, 474, 731 |
| 3 | 95, 153, 237, 731 |
| 17 | 95, 51, 79, 731 |
| 95, 3, 79, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 95 x 3 x 79 x 43 = 197501580
Therefore, the lowest common multiple of 380,306,948,731 is 197501580.
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.
380 x 306 x 948 x 731 = 80580644640
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.
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
731 : 1, 17, 43, 731
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,306,948,731, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
306:2x 3x 3x 17
948:2x 2x 3x 79
731:17x 43
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 17 = 408
Therefore, the value for common factors is 408.
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 = 80580644640/(1x408)
LCM = 80580644640/408
LCM = 197501580
Thus, we can understand that the LCM of 380,306,948,731 is 197501580.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 380, 306, 948, 731
1. What is the LCM of 380, 306, 948, 731?
Answer: LCM of 380, 306, 948, 731 is 197501580.
2. How to calculate the LCM of 380, 306, 948, 731?
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 380, 306, 948, 731.
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}.