LCM of 279, 744, 565, 586, 330
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 279, 744, 565, 586, 330 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, 744, 565, 586, 330. So, keep reading to learn more.
Given numbers are 279,744,565,586,330
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,744,565,586,330 is 4064460840.
Find LCM of 279,744,565,586,330 with Prime Factorization
| 2 | 279, 744, 565, 586, 330 |
| 3 | 279, 372, 565, 293, 165 |
| 5 | 93, 124, 565, 293, 55 |
| 31 | 93, 124, 113, 293, 11 |
| 3, 4, 113, 293, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 31 x 3 x 4 x 113 x 293 x 11 = 4064460840
Therefore, the lowest common multiple of 279,744,565,586,330 is 4064460840.
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 744 x 565 x 586 x 330 = 22679691487200
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
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
565 : 1, 5, 113, 565
586 : 1, 2, 293, 586
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,744,565,586,330, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
744:2x 2x 2x 3x 31
565:5x 113
586:2x 293
330:2x 3x 5x 11
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 5x 31 = 5580
Therefore, the value for common factors is 5580.
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 = 22679691487200/(1x5580)
LCM = 22679691487200/5580
LCM = 4064460840
Thus, we can understand that the LCM of 279,744,565,586,330 is 4064460840.
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FAQs on LCM of 279, 744, 565, 586, 330
1. What is the LCM of 279, 744, 565, 586, 330?
Answer: LCM of 279, 744, 565, 586, 330 is 4064460840.
2. How to calculate the LCM of 279, 744, 565, 586, 330?
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, 744, 565, 586, 330.
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}.