LCM of 437, 508, 345, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 508, 345, 874 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, 508, 345, 874. So, keep reading to learn more.
Given numbers are 437,508,345,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,508,345,874 is 3329940.
Find LCM of 437,508,345,874 with Prime Factorization
| 2 | 437, 508, 345, 874 |
| 19 | 437, 254, 345, 437 |
| 23 | 23, 254, 345, 23 |
| 1, 254, 15, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 23 x 1 x 254 x 15 x 1 = 3329940
Therefore, the lowest common multiple of 437,508,345,874 is 3329940.
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 508 x 345 x 874 = 66938453880
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
508 : 1, 2, 4, 127, 254, 508
345 : 1, 3, 5, 15, 23, 69, 115, 345
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,508,345,874, is 1.
Now, the common factors can be found like this.
437:19x 23
508:2x 2x 127
345:3x 5x 23
874:2x 19x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19x 23x 23 = 20102
Therefore, the value for common factors is 20102.
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 = 66938453880/(1x20102)
LCM = 66938453880/20102
LCM = 3329940
Thus, we can understand that the LCM of 437,508,345,874 is 3329940.
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FAQs on LCM of 437, 508, 345, 874
1. What is the LCM of 437, 508, 345, 874?
Answer: LCM of 437, 508, 345, 874 is 3329940.
2. How to calculate the LCM of 437, 508, 345, 874?
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, 508, 345, 874.
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}.