LCM of 361, 456, 280, 956
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 361, 456, 280, 956 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 361, 456, 280, 956. So, keep reading to learn more.
Given numbers are 361,456,280,956
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,456,280,956 is 72474360.
Find LCM of 361,456,280,956 with Prime Factorization
| 2 | 361, 456, 280, 956 |
| 2 | 361, 228, 140, 478 |
| 2 | 361, 114, 70, 239 |
| 19 | 361, 57, 35, 239 |
| 19, 3, 35, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 19 x 3 x 35 x 239 = 72474360
Therefore, the lowest common multiple of 361,456,280,956 is 72474360.
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.
361 x 456 x 280 x 956 = 44064410880
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.
361 : 1, 19, 361
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
956 : 1, 2, 4, 239, 478, 956
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,456,280,956, is 1.
Now, the common factors can be found like this.
361:19x 19
456:2x 2x 2x 3x 19
280:2x 2x 2x 5x 7
956:2x 2x 239
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 2x 2x 19 = 608
Therefore, the value for common factors is 608.
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 = 44064410880/(1x608)
LCM = 44064410880/608
LCM = 72474360
Thus, we can understand that the LCM of 361,456,280,956 is 72474360.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 361, 456, 280, 956
1. What is the LCM of 361, 456, 280, 956?
Answer: LCM of 361, 456, 280, 956 is 72474360.
2. How to calculate the LCM of 361, 456, 280, 956?
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 361, 456, 280, 956.
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}.