LCM of 437, 960, 907, 760, 674
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 960, 907, 760, 674 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 437, 960, 907, 760, 674. So, keep reading to learn more.
Given numbers are 437,960,907,760,674
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,960,907,760,674 is 128230063680.
Find LCM of 437,960,907,760,674 with Prime Factorization
| 2 | 437, 960, 907, 760, 674 |
| 2 | 437, 480, 907, 380, 337 |
| 2 | 437, 240, 907, 190, 337 |
| 5 | 437, 120, 907, 95, 337 |
| 19 | 437, 24, 907, 19, 337 |
| 23, 24, 907, 1, 337 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 19 x 23 x 24 x 907 x 1 x 337 = 128230063680
Therefore, the lowest common multiple of 437,960,907,760,674 is 128230063680.
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.
437 x 960 x 907 x 760 x 674 = 194909696793600
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.
437 : 1, 19, 23, 437
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
907 : 1, 907
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
674 : 1, 2, 337, 674
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,960,907,760,674, is 1.
Now, the common factors can be found like this.
437:19x 23
960:2x 2x 2x 2x 2x 2x 3x 5
907:907
760:2x 2x 2x 5x 19
674:2x 337
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 5x 19 = 1520
Therefore, the value for common factors is 1520.
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 = 194909696793600/(1x1520)
LCM = 194909696793600/1520
LCM = 128230063680
Thus, we can understand that the LCM of 437,960,907,760,674 is 128230063680.
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FAQs on LCM of 437, 960, 907, 760, 674
1. What is the LCM of 437, 960, 907, 760, 674?
Answer: LCM of 437, 960, 907, 760, 674 is 128230063680.
2. How to calculate the LCM of 437, 960, 907, 760, 674?
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 437, 960, 907, 760, 674.
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}.