LCM of 650, 796, 255, 952, 383
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 650, 796, 255, 952, 383 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 650, 796, 255, 952, 383. So, keep reading to learn more.
Given numbers are 650,796,255,952,383
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 650,796,255,952,383 is 70744619400.
Find LCM of 650,796,255,952,383 with Prime Factorization
| 2 | 650, 796, 255, 952, 383 |
| 2 | 325, 398, 255, 476, 383 |
| 5 | 325, 199, 255, 238, 383 |
| 17 | 65, 199, 51, 238, 383 |
| 65, 199, 3, 14, 383 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 65 x 199 x 3 x 14 x 383 = 70744619400
Therefore, the lowest common multiple of 650,796,255,952,383 is 70744619400.
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.
650 x 796 x 255 x 952 x 383 = 48106341192000
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.
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
796 : 1, 2, 4, 199, 398, 796
255 : 1, 3, 5, 15, 17, 51, 85, 255
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
383 : 1, 383
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 650,796,255,952,383, is 1.
Now, the common factors can be found like this.
650:2x 5x 5x 13
796:2x 2x 199
255:3x 5x 17
952:2x 2x 2x 7x 17
383:383
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 5x 17 = 680
Therefore, the value for common factors is 680.
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 = 48106341192000/(1x680)
LCM = 48106341192000/680
LCM = 70744619400
Thus, we can understand that the LCM of 650,796,255,952,383 is 70744619400.
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FAQs on LCM of 650, 796, 255, 952, 383
1. What is the LCM of 650, 796, 255, 952, 383?
Answer: LCM of 650, 796, 255, 952, 383 is 70744619400.
2. How to calculate the LCM of 650, 796, 255, 952, 383?
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 650, 796, 255, 952, 383.
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}.