LCM of 950, 510, 685, 576, 431
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 950, 510, 685, 576, 431 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 950, 510, 685, 576, 431. So, keep reading to learn more.
Given numbers are 950,510,685,576,431
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 950,510,685,576,431 is 274639406400.
Find LCM of 950,510,685,576,431 with Prime Factorization
| 2 | 950, 510, 685, 576, 431 |
| 3 | 475, 255, 685, 288, 431 |
| 5 | 475, 85, 685, 96, 431 |
| 95, 17, 137, 96, 431 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 95 x 17 x 137 x 96 x 431 = 274639406400
Therefore, the lowest common multiple of 950,510,685,576,431 is 274639406400.
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.
950 x 510 x 685 x 576 x 431 = 82391821920000
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.
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
685 : 1, 5, 137, 685
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
431 : 1, 431
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 950,510,685,576,431, is 1.
Now, the common factors can be found like this.
950:2x 5x 5x 19
510:2x 3x 5x 17
685:5x 137
576:2x 2x 2x 2x 2x 2x 3x 3
431:431
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 3x 5x 5 = 300
Therefore, the value for common factors is 300.
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 = 82391821920000/(1x300)
LCM = 82391821920000/300
LCM = 274639406400
Thus, we can understand that the LCM of 950,510,685,576,431 is 274639406400.
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FAQs on LCM of 950, 510, 685, 576, 431
1. What is the LCM of 950, 510, 685, 576, 431?
Answer: LCM of 950, 510, 685, 576, 431 is 274639406400.
2. How to calculate the LCM of 950, 510, 685, 576, 431?
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 950, 510, 685, 576, 431.
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}.