LCM of 692, 562, 960, 258, 228
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 692, 562, 960, 258, 228 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 692, 562, 960, 258, 228. So, keep reading to learn more.
Given numbers are 692,562,960,258,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 692,562,960,258,228 is 38128148160.
Find LCM of 692,562,960,258,228 with Prime Factorization
| 2 | 692, 562, 960, 258, 228 |
| 2 | 346, 281, 480, 129, 114 |
| 3 | 173, 281, 240, 129, 57 |
| 173, 281, 80, 43, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 173 x 281 x 80 x 43 x 19 = 38128148160
Therefore, the lowest common multiple of 692,562,960,258,228 is 38128148160.
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.
692 x 562 x 960 x 258 x 228 = 21961813340160
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.
692 : 1, 2, 4, 173, 346, 692
562 : 1, 2, 281, 562
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
258 : 1, 2, 3, 6, 43, 86, 129, 258
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,562,960,258,228, is 2.
Now, the common factors can be found like this.
692:2x 2x 173
562:2x 281
960:2x 2x 2x 2x 2x 2x 3x 5
258:2x 3x 43
228:2x 2x 3x 19
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 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 21961813340160/(2x288)
LCM = 21961813340160/576
LCM = 38128148160
Thus, we can understand that the LCM of 692,562,960,258,228 is 38128148160.
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FAQs on LCM of 692, 562, 960, 258, 228
1. What is the LCM of 692, 562, 960, 258, 228?
Answer: LCM of 692, 562, 960, 258, 228 is 38128148160.
2. How to calculate the LCM of 692, 562, 960, 258, 228?
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 692, 562, 960, 258, 228.
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}.