Find the LCM of 281, 710, 510, 705, 725 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 281, 710, 510, 705, 725. So, keep reading to learn more.
Given numbers are 281,710,510,705,725
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 281,710,510,705,725 is 69342693150.
Find LCM of 281,710,510,705,725 with Prime Factorization
2 | 281, 710, 510, 705, 725 |
3 | 281, 355, 255, 705, 725 |
5 | 281, 355, 85, 235, 725 |
281, 71, 17, 47, 145 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 281 x 71 x 17 x 47 x 145 = 69342693150
Therefore, the lowest common multiple of 281,710,510,705,725 is 69342693150.
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.
281 x 710 x 510 x 705 x 725 = 52007019862500
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.
281 : 1, 281
710 : 1, 2, 5, 10, 71, 142, 355, 710
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
705 : 1, 3, 5, 15, 47, 141, 235, 705
725 : 1, 5, 25, 29, 145, 725
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,710,510,705,725, is 1.
Now, the common factors can be found like this.
281:281
710:2x 5x 71
510:2x 3x 5x 17
705:3x 5x 47
725:5x 5x 29
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 5 = 750
Therefore, the value for common factors is 750.
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 = 52007019862500/(1x750)
LCM = 52007019862500/750
LCM = 69342693150
Thus, we can understand that the LCM of 281,710,510,705,725 is 69342693150.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 281, 710, 510, 705, 725?
Answer: LCM of 281, 710, 510, 705, 725 is 69342693150.
2. How to calculate the LCM of 281, 710, 510, 705, 725?
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 281, 710, 510, 705, 725.
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}.