LCM of 620, 207, 552, 514
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 620, 207, 552, 514 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 620, 207, 552, 514. So, keep reading to learn more.
Given numbers are 620,207,552,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 620,207,552,514 is 65966760.
Find LCM of 620,207,552,514 with Prime Factorization
| 2 | 620, 207, 552, 514 |
| 2 | 310, 207, 276, 257 |
| 3 | 155, 207, 138, 257 |
| 23 | 155, 69, 46, 257 |
| 155, 3, 2, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 155 x 3 x 2 x 257 = 65966760
Therefore, the lowest common multiple of 620,207,552,514 is 65966760.
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.
620 x 207 x 552 x 514 = 36413651520
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.
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
207 : 1, 3, 9, 23, 69, 207
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,207,552,514, is 1.
Now, the common factors can be found like this.
620:2x 2x 5x 31
207:3x 3x 23
552:2x 2x 2x 3x 23
514:2x 257
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 3x 23 = 552
Therefore, the value for common factors is 552.
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 = 36413651520/(1x552)
LCM = 36413651520/552
LCM = 65966760
Thus, we can understand that the LCM of 620,207,552,514 is 65966760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 620, 207, 552, 514
1. What is the LCM of 620, 207, 552, 514?
Answer: LCM of 620, 207, 552, 514 is 65966760.
2. How to calculate the LCM of 620, 207, 552, 514?
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 620, 207, 552, 514.
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}.