LCM of 437, 935, 892, 732, 440
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 935, 892, 732, 440 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, 935, 892, 732, 440. So, keep reading to learn more.
Given numbers are 437,935,892,732,440
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,935,892,732,440 is 133394826840.
Find LCM of 437,935,892,732,440 with Prime Factorization
| 2 | 437, 935, 892, 732, 440 |
| 2 | 437, 935, 446, 366, 220 |
| 5 | 437, 935, 223, 183, 110 |
| 11 | 437, 187, 223, 183, 22 |
| 437, 17, 223, 183, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 437 x 17 x 223 x 183 x 2 = 133394826840
Therefore, the lowest common multiple of 437,935,892,732,440 is 133394826840.
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 935 x 892 x 732 x 440 = 117387447619200
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
935 : 1, 5, 11, 17, 55, 85, 187, 935
892 : 1, 2, 4, 223, 446, 892
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,935,892,732,440, is 1.
Now, the common factors can be found like this.
437:19x 23
935:5x 11x 17
892:2x 2x 223
732:2x 2x 3x 61
440:2x 2x 2x 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 2x 2x 5x 11 = 880
Therefore, the value for common factors is 880.
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 = 117387447619200/(1x880)
LCM = 117387447619200/880
LCM = 133394826840
Thus, we can understand that the LCM of 437,935,892,732,440 is 133394826840.
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FAQs on LCM of 437, 935, 892, 732, 440
1. What is the LCM of 437, 935, 892, 732, 440?
Answer: LCM of 437, 935, 892, 732, 440 is 133394826840.
2. How to calculate the LCM of 437, 935, 892, 732, 440?
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, 935, 892, 732, 440.
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}.