LCM of 279, 276, 690, 635, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 279, 276, 690, 635, 144 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, 276, 690, 635, 144. So, keep reading to learn more.
Given numbers are 279,276,690,635,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,276,690,635,144 is 65196720.
Find LCM of 279,276,690,635,144 with Prime Factorization
| 2 | 279, 276, 690, 635, 144 |
| 2 | 279, 138, 345, 635, 72 |
| 3 | 279, 69, 345, 635, 36 |
| 3 | 93, 23, 115, 635, 12 |
| 5 | 31, 23, 115, 635, 4 |
| 23 | 31, 23, 23, 127, 4 |
| 31, 1, 1, 127, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 23 x 31 x 1 x 1 x 127 x 4 = 65196720
Therefore, the lowest common multiple of 279,276,690,635,144 is 65196720.
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 276 x 690 x 635 x 144 = 4858459574400
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
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
635 : 1, 5, 127, 635
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,276,690,635,144, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
276:2x 2x 3x 23
690:2x 3x 5x 23
635:5x 127
144:2x 2x 2x 2x 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 2x 3x 3x 3x 3x 5x 23 = 74520
Therefore, the value for common factors is 74520.
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 = 4858459574400/(1x74520)
LCM = 4858459574400/74520
LCM = 65196720
Thus, we can understand that the LCM of 279,276,690,635,144 is 65196720.
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FAQs on LCM of 279, 276, 690, 635, 144
1. What is the LCM of 279, 276, 690, 635, 144?
Answer: LCM of 279, 276, 690, 635, 144 is 65196720.
2. How to calculate the LCM of 279, 276, 690, 635, 144?
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, 276, 690, 635, 144.
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}.