LCM of 704, 705, 249, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 705, 249, 510 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 704, 705, 249, 510. So, keep reading to learn more.
Given numbers are 704,705,249,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,705,249,510 is 700307520.
Find LCM of 704,705,249,510 with Prime Factorization
| 2 | 704, 705, 249, 510 |
| 3 | 352, 705, 249, 255 |
| 5 | 352, 235, 83, 85 |
| 352, 47, 83, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 352 x 47 x 83 x 17 = 700307520
Therefore, the lowest common multiple of 704,705,249,510 is 700307520.
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.
704 x 705 x 249 x 510 = 63027676800
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.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
705 : 1, 3, 5, 15, 47, 141, 235, 705
249 : 1, 3, 83, 249
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,705,249,510, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
705:3x 5x 47
249:3x 83
510:2x 3x 5x 17
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 3x 5 = 90
Therefore, the value for common factors is 90.
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 = 63027676800/(1x90)
LCM = 63027676800/90
LCM = 700307520
Thus, we can understand that the LCM of 704,705,249,510 is 700307520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 704, 705, 249, 510
1. What is the LCM of 704, 705, 249, 510?
Answer: LCM of 704, 705, 249, 510 is 700307520.
2. How to calculate the LCM of 704, 705, 249, 510?
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 704, 705, 249, 510.
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}.