LCM of 383, 465, 685, 762, 924
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 383, 465, 685, 762, 924 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, 465, 685, 762, 924. So, keep reading to learn more.
Given numbers are 383,465,685,762,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 383,465,685,762,924 is 954391870740.
Find LCM of 383,465,685,762,924 with Prime Factorization
| 2 | 383, 465, 685, 762, 924 |
| 3 | 383, 465, 685, 381, 462 |
| 5 | 383, 155, 685, 127, 154 |
| 383, 31, 137, 127, 154 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 383 x 31 x 137 x 127 x 154 = 954391870740
Therefore, the lowest common multiple of 383,465,685,762,924 is 954391870740.
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 465 x 685 x 762 x 924 = 85895268366600
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
465 : 1, 3, 5, 15, 31, 93, 155, 465
685 : 1, 5, 137, 685
762 : 1, 2, 3, 6, 127, 254, 381, 762
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 383,465,685,762,924, is 1.
Now, the common factors can be found like this.
383:383
465:3x 5x 31
685:5x 137
762:2x 3x 127
924:2x 2x 3x 7x 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 3x 3x 5 = 90
Therefore, the value for common factors is 90.
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 = 85895268366600/(1x90)
LCM = 85895268366600/90
LCM = 954391870740
Thus, we can understand that the LCM of 383,465,685,762,924 is 954391870740.
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FAQs on LCM of 383, 465, 685, 762, 924
1. What is the LCM of 383, 465, 685, 762, 924?
Answer: LCM of 383, 465, 685, 762, 924 is 954391870740.
2. How to calculate the LCM of 383, 465, 685, 762, 924?
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, 465, 685, 762, 924.
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}.