LCM of 474, 275, 825, 926, 265
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 474, 275, 825, 926, 265 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 474, 275, 825, 926, 265. So, keep reading to learn more.
Given numbers are 474,275,825,926,265
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 474,275,825,926,265 is 3198658650.
Find LCM of 474,275,825,926,265 with Prime Factorization
| 2 | 474, 275, 825, 926, 265 |
| 3 | 237, 275, 825, 463, 265 |
| 5 | 79, 275, 275, 463, 265 |
| 5 | 79, 55, 55, 463, 53 |
| 11 | 79, 11, 11, 463, 53 |
| 79, 1, 1, 463, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 11 x 79 x 1 x 1 x 463 x 53 = 3198658650
Therefore, the lowest common multiple of 474,275,825,926,265 is 3198658650.
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.
474 x 275 x 825 x 926 x 265 = 26388933862500
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.
474 : 1, 2, 3, 6, 79, 158, 237, 474
275 : 1, 5, 11, 25, 55, 275
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
926 : 1, 2, 463, 926
265 : 1, 5, 53, 265
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,275,825,926,265, is 1.
Now, the common factors can be found like this.
474:2x 3x 79
275:5x 5x 11
825:3x 5x 5x 11
926:2x 463
265:5x 53
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 5x 5x 5x 11 = 8250
Therefore, the value for common factors is 8250.
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 = 26388933862500/(1x8250)
LCM = 26388933862500/8250
LCM = 3198658650
Thus, we can understand that the LCM of 474,275,825,926,265 is 3198658650.
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FAQs on LCM of 474, 275, 825, 926, 265
1. What is the LCM of 474, 275, 825, 926, 265?
Answer: LCM of 474, 275, 825, 926, 265 is 3198658650.
2. How to calculate the LCM of 474, 275, 825, 926, 265?
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 474, 275, 825, 926, 265.
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}.