LCM of 279, 598, 819, 294
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 279, 598, 819, 294 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, 598, 819, 294. So, keep reading to learn more.
Given numbers are 279,598,819,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,598,819,294 is 8175258.
Find LCM of 279,598,819,294 with Prime Factorization
| 2 | 279, 598, 819, 294 |
| 3 | 279, 299, 819, 147 |
| 3 | 93, 299, 273, 49 |
| 7 | 31, 299, 91, 49 |
| 13 | 31, 299, 13, 7 |
| 31, 23, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 13 x 31 x 23 x 1 x 7 = 8175258
Therefore, the lowest common multiple of 279,598,819,294 is 8175258.
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 598 x 819 x 294 = 40173217812
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
598 : 1, 2, 13, 23, 26, 46, 299, 598
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,598,819,294, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
598:2x 13x 23
819:3x 3x 7x 13
294:2x 3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 7x 13 = 4914
Therefore, the value for common factors is 4914.
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 = 40173217812/(1x4914)
LCM = 40173217812/4914
LCM = 8175258
Thus, we can understand that the LCM of 279,598,819,294 is 8175258.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 279, 598, 819, 294
1. What is the LCM of 279, 598, 819, 294?
Answer: LCM of 279, 598, 819, 294 is 8175258.
2. How to calculate the LCM of 279, 598, 819, 294?
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, 598, 819, 294.
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}.