LCM of 586, 690, 660, 357, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 586, 690, 660, 357, 312 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 586, 690, 660, 357, 312. So, keep reading to learn more.
Given numbers are 586,690,660,357,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,690,660,357,312 is 13761307560.
Find LCM of 586,690,660,357,312 with Prime Factorization
| 2 | 586, 690, 660, 357, 312 |
| 2 | 293, 345, 330, 357, 156 |
| 3 | 293, 345, 165, 357, 78 |
| 5 | 293, 115, 55, 119, 26 |
| 293, 23, 11, 119, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 293 x 23 x 11 x 119 x 26 = 13761307560
Therefore, the lowest common multiple of 586,690,660,357,312 is 13761307560.
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.
586 x 690 x 660 x 357 x 312 = 29724424329600
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.
586 : 1, 2, 293, 586
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
357 : 1, 3, 7, 17, 21, 51, 119, 357
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,690,660,357,312, is 1.
Now, the common factors can be found like this.
586:2x 293
690:2x 3x 5x 23
660:2x 2x 3x 5x 11
357:3x 7x 17
312:2x 2x 2x 3x 13
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 3x 3x 3x 5 = 2160
Therefore, the value for common factors is 2160.
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 = 29724424329600/(1x2160)
LCM = 29724424329600/2160
LCM = 13761307560
Thus, we can understand that the LCM of 586,690,660,357,312 is 13761307560.
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FAQs on LCM of 586, 690, 660, 357, 312
1. What is the LCM of 586, 690, 660, 357, 312?
Answer: LCM of 586, 690, 660, 357, 312 is 13761307560.
2. How to calculate the LCM of 586, 690, 660, 357, 312?
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 586, 690, 660, 357, 312.
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}.