LCM of 254, 715, 265, 508, 412
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 254, 715, 265, 508, 412 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 254, 715, 265, 508, 412. So, keep reading to learn more.
Given numbers are 254,715,265,508,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 254,715,265,508,412 is 1982817980.
Find LCM of 254,715,265,508,412 with Prime Factorization
| 2 | 254, 715, 265, 508, 412 |
| 2 | 127, 715, 265, 254, 206 |
| 5 | 127, 715, 265, 127, 103 |
| 127 | 127, 143, 53, 127, 103 |
| 1, 143, 53, 1, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 127 x 1 x 143 x 53 x 1 x 103 = 1982817980
Therefore, the lowest common multiple of 254,715,265,508,412 is 1982817980.
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.
254 x 715 x 265 x 508 x 412 = 10072715338400
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.
254 : 1, 2, 127, 254
715 : 1, 5, 11, 13, 55, 65, 143, 715
265 : 1, 5, 53, 265
508 : 1, 2, 4, 127, 254, 508
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,715,265,508,412, is 1.
Now, the common factors can be found like this.
254:2x 127
715:5x 11x 13
265:5x 53
508:2x 2x 127
412:2x 2x 103
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 127 = 5080
Therefore, the value for common factors is 5080.
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 = 10072715338400/(1x5080)
LCM = 10072715338400/5080
LCM = 1982817980
Thus, we can understand that the LCM of 254,715,265,508,412 is 1982817980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 254, 715, 265, 508, 412
1. What is the LCM of 254, 715, 265, 508, 412?
Answer: LCM of 254, 715, 265, 508, 412 is 1982817980.
2. How to calculate the LCM of 254, 715, 265, 508, 412?
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 254, 715, 265, 508, 412.
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}.