LCM of 279, 488, 963, 744, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 279, 488, 963, 744, 720 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, 488, 963, 744, 720. So, keep reading to learn more.
Given numbers are 279,488,963,744,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,488,963,744,720 is 145682640.
Find LCM of 279,488,963,744,720 with Prime Factorization
| 2 | 279, 488, 963, 744, 720 |
| 2 | 279, 244, 963, 372, 360 |
| 2 | 279, 122, 963, 186, 180 |
| 3 | 279, 61, 963, 93, 90 |
| 3 | 31, 61, 321, 93, 30 |
| 31 | 31, 61, 107, 31, 10 |
| 1, 61, 107, 1, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 31 x 1 x 61 x 107 x 1 x 10 = 145682640
Therefore, the lowest common multiple of 279,488,963,744,720 is 145682640.
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 488 x 963 x 744 x 720 = 70235348935680
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
488 : 1, 2, 4, 8, 61, 122, 244, 488
963 : 1, 3, 9, 107, 321, 963
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,488,963,744,720, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
488:2x 2x 2x 61
963:3x 3x 107
744:2x 2x 2x 3x 31
720:2x 2x 2x 2x 3x 3x 5
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 2x 2x 2x 3x 3x 3x 3x 3x 31 = 482112
Therefore, the value for common factors is 482112.
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 = 70235348935680/(1x482112)
LCM = 70235348935680/482112
LCM = 145682640
Thus, we can understand that the LCM of 279,488,963,744,720 is 145682640.
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FAQs on LCM of 279, 488, 963, 744, 720
1. What is the LCM of 279, 488, 963, 744, 720?
Answer: LCM of 279, 488, 963, 744, 720 is 145682640.
2. How to calculate the LCM of 279, 488, 963, 744, 720?
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, 488, 963, 744, 720.
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}.