LCM of 279, 961, 440, 225, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 279, 961, 440, 225, 972 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 279, 961, 440, 225, 972. So, keep reading to learn more.
Given numbers are 279,961,440,225,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,961,440,225,972 is 513750600.
Find LCM of 279,961,440,225,972 with Prime Factorization
| 2 | 279, 961, 440, 225, 972 |
| 2 | 279, 961, 220, 225, 486 |
| 3 | 279, 961, 110, 225, 243 |
| 3 | 93, 961, 110, 75, 81 |
| 5 | 31, 961, 110, 25, 27 |
| 31 | 31, 961, 22, 5, 27 |
| 1, 31, 22, 5, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 31 x 1 x 31 x 22 x 5 x 27 = 513750600
Therefore, the lowest common multiple of 279,961,440,225,972 is 513750600.
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.
279 x 961 x 440 x 225 x 972 = 25800555132000
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.
279 : 1, 3, 9, 31, 93, 279
961 : 1, 31, 961
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,961,440,225,972, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
961:31x 31
440:2x 2x 2x 5x 11
225:3x 3x 5x 5
972:2x 2x 3x 3x 3x 3x 3
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 3x 3x 3x 5x 31 = 50220
Therefore, the value for common factors is 50220.
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 = 25800555132000/(1x50220)
LCM = 25800555132000/50220
LCM = 513750600
Thus, we can understand that the LCM of 279,961,440,225,972 is 513750600.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 279, 961, 440, 225, 972
1. What is the LCM of 279, 961, 440, 225, 972?
Answer: LCM of 279, 961, 440, 225, 972 is 513750600.
2. How to calculate the LCM of 279, 961, 440, 225, 972?
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 279, 961, 440, 225, 972.
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}.