LCM of 937, 475, 590, 864, 666
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 937, 475, 590, 864, 666 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 937, 475, 590, 864, 666. So, keep reading to learn more.
Given numbers are 937,475,590,864,666
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 937,475,590,864,666 is 839461298400.
Find LCM of 937,475,590,864,666 with Prime Factorization
| 2 | 937, 475, 590, 864, 666 |
| 3 | 937, 475, 295, 432, 333 |
| 3 | 937, 475, 295, 144, 111 |
| 5 | 937, 475, 295, 48, 37 |
| 937, 95, 59, 48, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 937 x 95 x 59 x 48 x 37 = 839461298400
Therefore, the lowest common multiple of 937,475,590,864,666 is 839461298400.
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.
937 x 475 x 590 x 864 x 666 = 151103033712000
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.
937 : 1, 937
475 : 1, 5, 19, 25, 95, 475
590 : 1, 2, 5, 10, 59, 118, 295, 590
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 937,475,590,864,666, is 1.
Now, the common factors can be found like this.
937:937
475:5x 5x 19
590:2x 5x 59
864:2x 2x 2x 2x 2x 3x 3x 3
666:2x 3x 3x 37
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 5 = 180
Therefore, the value for common factors is 180.
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 = 151103033712000/(1x180)
LCM = 151103033712000/180
LCM = 839461298400
Thus, we can understand that the LCM of 937,475,590,864,666 is 839461298400.
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FAQs on LCM of 937, 475, 590, 864, 666
1. What is the LCM of 937, 475, 590, 864, 666?
Answer: LCM of 937, 475, 590, 864, 666 is 839461298400.
2. How to calculate the LCM of 937, 475, 590, 864, 666?
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 937, 475, 590, 864, 666.
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}.