LCM of 688, 352, 989, 549, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 688, 352, 989, 549, 288 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 688, 352, 989, 549, 288. So, keep reading to learn more.
Given numbers are 688,352,989,549,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,352,989,549,288 is 191122272.
Find LCM of 688,352,989,549,288 with Prime Factorization
| 2 | 688, 352, 989, 549, 288 |
| 2 | 344, 176, 989, 549, 144 |
| 2 | 172, 88, 989, 549, 72 |
| 2 | 86, 44, 989, 549, 36 |
| 2 | 43, 22, 989, 549, 18 |
| 3 | 43, 11, 989, 549, 9 |
| 3 | 43, 11, 989, 183, 3 |
| 43 | 43, 11, 989, 61, 1 |
| 1, 11, 23, 61, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 3 x 43 x 1 x 11 x 23 x 61 x 1 = 191122272
Therefore, the lowest common multiple of 688,352,989,549,288 is 191122272.
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.
688 x 352 x 989 x 549 x 288 = 37869731463168
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.
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
989 : 1, 23, 43, 989
549 : 1, 3, 9, 61, 183, 549
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,352,989,549,288, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
352:2x 2x 2x 2x 2x 11
989:23x 43
549:3x 3x 61
288:2x 2x 2x 2x 2x 3x 3
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 2x 2x 2x 2x 3x 3x 43 = 198144
Therefore, the value for common factors is 198144.
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 = 37869731463168/(1x198144)
LCM = 37869731463168/198144
LCM = 191122272
Thus, we can understand that the LCM of 688,352,989,549,288 is 191122272.
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FAQs on LCM of 688, 352, 989, 549, 288
1. What is the LCM of 688, 352, 989, 549, 288?
Answer: LCM of 688, 352, 989, 549, 288 is 191122272.
2. How to calculate the LCM of 688, 352, 989, 549, 288?
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 688, 352, 989, 549, 288.
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}.