LCM of 279, 620, 144, 278
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 279, 620, 144, 278 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, 620, 144, 278. So, keep reading to learn more.
Given numbers are 279,620,144,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,620,144,278 is 3102480.
Find LCM of 279,620,144,278 with Prime Factorization
| 2 | 279, 620, 144, 278 |
| 2 | 279, 310, 72, 139 |
| 3 | 279, 155, 36, 139 |
| 3 | 93, 155, 12, 139 |
| 31 | 31, 155, 4, 139 |
| 1, 5, 4, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 31 x 1 x 5 x 4 x 139 = 3102480
Therefore, the lowest common multiple of 279,620,144,278 is 3102480.
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 620 x 144 x 278 = 6924735360
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
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,620,144,278, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
620:2x 2x 5x 31
144:2x 2x 2x 2x 3x 3
278:2x 139
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 31 = 2232
Therefore, the value for common factors is 2232.
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 = 6924735360/(1x2232)
LCM = 6924735360/2232
LCM = 3102480
Thus, we can understand that the LCM of 279,620,144,278 is 3102480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 279, 620, 144, 278
1. What is the LCM of 279, 620, 144, 278?
Answer: LCM of 279, 620, 144, 278 is 3102480.
2. How to calculate the LCM of 279, 620, 144, 278?
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, 620, 144, 278.
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}.