LCM of 950, 950, 567, 828
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 950, 950, 567, 828 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, 950, 567, 828. So, keep reading to learn more.
Given numbers are 950,950,567,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 950,950,567,828 is 24777900.
Find LCM of 950,950,567,828 with Prime Factorization
| 2 | 950, 950, 567, 828 |
| 3 | 475, 475, 567, 414 |
| 3 | 475, 475, 189, 138 |
| 5 | 475, 475, 63, 46 |
| 5 | 95, 95, 63, 46 |
| 19 | 19, 19, 63, 46 |
| 1, 1, 63, 46 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 5 x 19 x 1 x 1 x 63 x 46 = 24777900
Therefore, the lowest common multiple of 950,950,567,828 is 24777900.
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 950 x 567 x 828 = 423702090000
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
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 950,950,567,828, is 1.
Now, the common factors can be found like this.
950:2x 5x 5x 19
950:2x 5x 5x 19
567:3x 3x 3x 3x 7
828:2x 2x 3x 3x 23
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 3x 5x 5x 19 = 17100
Therefore, the value for common factors is 17100.
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 = 423702090000/(1x17100)
LCM = 423702090000/17100
LCM = 24777900
Thus, we can understand that the LCM of 950,950,567,828 is 24777900.
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FAQs on LCM of 950, 950, 567, 828
1. What is the LCM of 950, 950, 567, 828?
Answer: LCM of 950, 950, 567, 828 is 24777900.
2. How to calculate the LCM of 950, 950, 567, 828?
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, 950, 567, 828.
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}.