LCM of 392, 707, 575, 350, 255
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 392, 707, 575, 350, 255 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 392, 707, 575, 350, 255. So, keep reading to learn more.
Given numbers are 392,707,575,350,255
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 392,707,575,350,255 is 1161035400.
Find LCM of 392,707,575,350,255 with Prime Factorization
| 2 | 392, 707, 575, 350, 255 |
| 5 | 196, 707, 575, 175, 255 |
| 5 | 196, 707, 115, 35, 51 |
| 7 | 196, 707, 23, 7, 51 |
| 28, 101, 23, 1, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 7 x 28 x 101 x 23 x 1 x 51 = 1161035400
Therefore, the lowest common multiple of 392,707,575,350,255 is 1161035400.
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.
392 x 707 x 575 x 350 x 255 = 14222683650000
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.
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
707 : 1, 7, 101, 707
575 : 1, 5, 23, 25, 115, 575
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
255 : 1, 3, 5, 15, 17, 51, 85, 255
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,707,575,350,255, is 1.
Now, the common factors can be found like this.
392:2x 2x 2x 7x 7
707:7x 101
575:5x 5x 23
350:2x 5x 5x 7
255:3x 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 5x 5x 5x 7x 7 = 12250
Therefore, the value for common factors is 12250.
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 = 14222683650000/(1x12250)
LCM = 14222683650000/12250
LCM = 1161035400
Thus, we can understand that the LCM of 392,707,575,350,255 is 1161035400.
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FAQs on LCM of 392, 707, 575, 350, 255
1. What is the LCM of 392, 707, 575, 350, 255?
Answer: LCM of 392, 707, 575, 350, 255 is 1161035400.
2. How to calculate the LCM of 392, 707, 575, 350, 255?
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 392, 707, 575, 350, 255.
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}.