LCM of 534, 692, 474, 440, 465
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 534, 692, 474, 440, 465 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 534, 692, 474, 440, 465. So, keep reading to learn more.
Given numbers are 534,692,474,440,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 534,692,474,440,465 is 49773573960.
Find LCM of 534,692,474,440,465 with Prime Factorization
| 2 | 534, 692, 474, 440, 465 |
| 2 | 267, 346, 237, 220, 465 |
| 3 | 267, 173, 237, 110, 465 |
| 5 | 89, 173, 79, 110, 155 |
| 89, 173, 79, 22, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 89 x 173 x 79 x 22 x 31 = 49773573960
Therefore, the lowest common multiple of 534,692,474,440,465 is 49773573960.
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.
534 x 692 x 474 x 440 x 465 = 35836973251200
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.
534 : 1, 2, 3, 6, 89, 178, 267, 534
692 : 1, 2, 4, 173, 346, 692
474 : 1, 2, 3, 6, 79, 158, 237, 474
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
465 : 1, 3, 5, 15, 31, 93, 155, 465
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 534,692,474,440,465, is 1.
Now, the common factors can be found like this.
534:2x 3x 89
692:2x 2x 173
474:2x 3x 79
440:2x 2x 2x 5x 11
465:3x 5x 31
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 3x 3x 5 = 720
Therefore, the value for common factors is 720.
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 = 35836973251200/(1x720)
LCM = 35836973251200/720
LCM = 49773573960
Thus, we can understand that the LCM of 534,692,474,440,465 is 49773573960.
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FAQs on LCM of 534, 692, 474, 440, 465
1. What is the LCM of 534, 692, 474, 440, 465?
Answer: LCM of 534, 692, 474, 440, 465 is 49773573960.
2. How to calculate the LCM of 534, 692, 474, 440, 465?
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 534, 692, 474, 440, 465.
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}.