LCM of 278, 717, 772, 972, 901
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 278, 717, 772, 972, 901 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 278, 717, 772, 972, 901. So, keep reading to learn more.
Given numbers are 278,717,772,972,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,717,772,972,901 is 5615146171116.
Find LCM of 278,717,772,972,901 with Prime Factorization
| 2 | 278, 717, 772, 972, 901 |
| 2 | 139, 717, 386, 486, 901 |
| 3 | 139, 717, 193, 243, 901 |
| 139, 239, 193, 81, 901 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 139 x 239 x 193 x 81 x 901 = 5615146171116
Therefore, the lowest common multiple of 278,717,772,972,901 is 5615146171116.
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.
278 x 717 x 772 x 972 x 901 = 134763508106784
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.
278 : 1, 2, 139, 278
717 : 1, 3, 239, 717
772 : 1, 2, 4, 193, 386, 772
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,717,772,972,901, is 1.
Now, the common factors can be found like this.
278:2x 139
717:3x 239
772:2x 2x 193
972:2x 2x 3x 3x 3x 3x 3
901:17x 53
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 3 = 24
Therefore, the value for common factors is 24.
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 = 134763508106784/(1x24)
LCM = 134763508106784/24
LCM = 5615146171116
Thus, we can understand that the LCM of 278,717,772,972,901 is 5615146171116.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 278, 717, 772, 972, 901
1. What is the LCM of 278, 717, 772, 972, 901?
Answer: LCM of 278, 717, 772, 972, 901 is 5615146171116.
2. How to calculate the LCM of 278, 717, 772, 972, 901?
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 278, 717, 772, 972, 901.
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}.