LCM of 437, 363, 534, 114
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 363, 534, 114 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, 363, 534, 114. So, keep reading to learn more.
Given numbers are 437,363,534,114
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,363,534,114 is 28236318.
Find LCM of 437,363,534,114 with Prime Factorization
| 2 | 437, 363, 534, 114 |
| 3 | 437, 363, 267, 57 |
| 19 | 437, 121, 89, 19 |
| 23, 121, 89, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 23 x 121 x 89 x 1 = 28236318
Therefore, the lowest common multiple of 437,363,534,114 is 28236318.
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 363 x 534 x 114 = 9656820756
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
363 : 1, 3, 11, 33, 121, 363
534 : 1, 2, 3, 6, 89, 178, 267, 534
114 : 1, 2, 3, 6, 19, 38, 57, 114
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,363,534,114, is 1.
Now, the common factors can be found like this.
437:19x 23
363:3x 11x 11
534:2x 3x 89
114:2x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 19 = 342
Therefore, the value for common factors is 342.
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 = 9656820756/(1x342)
LCM = 9656820756/342
LCM = 28236318
Thus, we can understand that the LCM of 437,363,534,114 is 28236318.
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FAQs on LCM of 437, 363, 534, 114
1. What is the LCM of 437, 363, 534, 114?
Answer: LCM of 437, 363, 534, 114 is 28236318.
2. How to calculate the LCM of 437, 363, 534, 114?
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, 363, 534, 114.
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}.