LCM of 265, 711, 474, 628, 950
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 265, 711, 474, 628, 950 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 265, 711, 474, 628, 950. So, keep reading to learn more.
Given numbers are 265,711,474,628,950
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 265,711,474,628,950 is 11240838900.
Find LCM of 265,711,474,628,950 with Prime Factorization
| 2 | 265, 711, 474, 628, 950 |
| 3 | 265, 711, 237, 314, 475 |
| 5 | 265, 79, 237, 314, 475 |
| 79 | 53, 79, 237, 314, 95 |
| 53, 1, 3, 314, 95 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 79 x 53 x 1 x 3 x 314 x 95 = 11240838900
Therefore, the lowest common multiple of 265,711,474,628,950 is 11240838900.
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.
265 x 711 x 474 x 628 x 950 = 53281576386000
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.
265 : 1, 5, 53, 265
711 : 1, 3, 9, 79, 237, 711
474 : 1, 2, 3, 6, 79, 158, 237, 474
628 : 1, 2, 4, 157, 314, 628
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 265,711,474,628,950, is 1.
Now, the common factors can be found like this.
265:5x 53
711:3x 3x 79
474:2x 3x 79
628:2x 2x 157
950:2x 5x 5x 19
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 79 = 4740
Therefore, the value for common factors is 4740.
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 = 53281576386000/(1x4740)
LCM = 53281576386000/4740
LCM = 11240838900
Thus, we can understand that the LCM of 265,711,474,628,950 is 11240838900.
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FAQs on LCM of 265, 711, 474, 628, 950
1. What is the LCM of 265, 711, 474, 628, 950?
Answer: LCM of 265, 711, 474, 628, 950 is 11240838900.
2. How to calculate the LCM of 265, 711, 474, 628, 950?
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 265, 711, 474, 628, 950.
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}.