LCM of 383, 692, 527, 248, 465
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 383, 692, 527, 248, 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 383, 692, 527, 248, 465. So, keep reading to learn more.
Given numbers are 383,692,527,248,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 383,692,527,248,465 is 4190219160.
Find LCM of 383,692,527,248,465 with Prime Factorization
| 2 | 383, 692, 527, 248, 465 |
| 2 | 383, 346, 527, 124, 465 |
| 31 | 383, 173, 527, 62, 465 |
| 383, 173, 17, 2, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 383 x 173 x 17 x 2 x 15 = 4190219160
Therefore, the lowest common multiple of 383,692,527,248,465 is 4190219160.
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.
383 x 692 x 527 x 248 x 465 = 16107202451040
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.
383 : 1, 383
692 : 1, 2, 4, 173, 346, 692
527 : 1, 17, 31, 527
248 : 1, 2, 4, 8, 31, 62, 124, 248
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 383,692,527,248,465, is 1.
Now, the common factors can be found like this.
383:383
692:2x 2x 173
527:17x 31
248:2x 2x 2x 31
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 31x 31 = 3844
Therefore, the value for common factors is 3844.
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 = 16107202451040/(1x3844)
LCM = 16107202451040/3844
LCM = 4190219160
Thus, we can understand that the LCM of 383,692,527,248,465 is 4190219160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 383, 692, 527, 248, 465
1. What is the LCM of 383, 692, 527, 248, 465?
Answer: LCM of 383, 692, 527, 248, 465 is 4190219160.
2. How to calculate the LCM of 383, 692, 527, 248, 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 383, 692, 527, 248, 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}.