LCM of 250, 540, 604, 655, 265
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 250, 540, 604, 655, 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 250, 540, 604, 655, 265. So, keep reading to learn more.
Given numbers are 250,540,604,655,265
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 250,540,604,655,265 is 14153305500.
Find LCM of 250,540,604,655,265 with Prime Factorization
| 2 | 250, 540, 604, 655, 265 |
| 2 | 125, 270, 302, 655, 265 |
| 5 | 125, 135, 151, 655, 265 |
| 25, 27, 151, 131, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 25 x 27 x 151 x 131 x 53 = 14153305500
Therefore, the lowest common multiple of 250,540,604,655,265 is 14153305500.
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.
250 x 540 x 604 x 655 x 265 = 14153305500000
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.
250 : 1, 2, 5, 10, 25, 50, 125, 250
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
604 : 1, 2, 4, 151, 302, 604
655 : 1, 5, 131, 655
265 : 1, 5, 53, 265
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 250,540,604,655,265, is 1.
Now, the common factors can be found like this.
250:2x 5x 5x 5
540:2x 2x 3x 3x 3x 5
604:2x 2x 151
655:5x 131
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 2x 2x 5x 5x 5 = 1000
Therefore, the value for common factors is 1000.
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 = 14153305500000/(1x1000)
LCM = 14153305500000/1000
LCM = 14153305500
Thus, we can understand that the LCM of 250,540,604,655,265 is 14153305500.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 250, 540, 604, 655, 265
1. What is the LCM of 250, 540, 604, 655, 265?
Answer: LCM of 250, 540, 604, 655, 265 is 14153305500.
2. How to calculate the LCM of 250, 540, 604, 655, 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 250, 540, 604, 655, 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}.