LCM of 925, 364, 770, 728, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 925, 364, 770, 728, 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 925, 364, 770, 728, 510. So, keep reading to learn more.
Given numbers are 925,364,770,728,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 925,364,770,728,510 is 377777400.
Find LCM of 925,364,770,728,510 with Prime Factorization
| 2 | 925, 364, 770, 728, 510 |
| 2 | 925, 182, 385, 364, 255 |
| 5 | 925, 91, 385, 182, 255 |
| 7 | 185, 91, 77, 182, 51 |
| 13 | 185, 13, 11, 26, 51 |
| 185, 1, 11, 2, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 13 x 185 x 1 x 11 x 2 x 51 = 377777400
Therefore, the lowest common multiple of 925,364,770,728,510 is 377777400.
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.
925 x 364 x 770 x 728 x 510 = 96257681520000
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.
925 : 1, 5, 25, 37, 185, 925
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
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 925,364,770,728,510, is 1.
Now, the common factors can be found like this.
925:5x 5x 37
364:2x 2x 7x 13
770:2x 5x 7x 11
728:2x 2x 2x 7x 13
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 2x 2x 2x 5x 5x 7x 7x 13 = 254800
Therefore, the value for common factors is 254800.
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 = 96257681520000/(1x254800)
LCM = 96257681520000/254800
LCM = 377777400
Thus, we can understand that the LCM of 925,364,770,728,510 is 377777400.
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FAQs on LCM of 925, 364, 770, 728, 510
1. What is the LCM of 925, 364, 770, 728, 510?
Answer: LCM of 925, 364, 770, 728, 510 is 377777400.
2. How to calculate the LCM of 925, 364, 770, 728, 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 925, 364, 770, 728, 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}.