LCM of 188, 248, 306, 561, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 188, 248, 306, 561, 456 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 188, 248, 306, 561, 456. So, keep reading to learn more.
Given numbers are 188,248,306,561,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 188,248,306,561,456 is 372723912.
Find LCM of 188,248,306,561,456 with Prime Factorization
| 2 | 188, 248, 306, 561, 456 |
| 2 | 94, 124, 153, 561, 228 |
| 2 | 47, 62, 153, 561, 114 |
| 3 | 47, 31, 153, 561, 57 |
| 17 | 47, 31, 51, 187, 19 |
| 47, 31, 3, 11, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 47 x 31 x 3 x 11 x 19 = 372723912
Therefore, the lowest common multiple of 188,248,306,561,456 is 372723912.
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.
188 x 248 x 306 x 561 x 456 = 3649712546304
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.
188 : 1, 2, 4, 47, 94, 188
248 : 1, 2, 4, 8, 31, 62, 124, 248
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
561 : 1, 3, 11, 17, 33, 51, 187, 561
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,248,306,561,456, is 1.
Now, the common factors can be found like this.
188:2x 2x 47
248:2x 2x 2x 31
306:2x 3x 3x 17
561:3x 11x 17
456:2x 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 2x 3x 3x 17 = 9792
Therefore, the value for common factors is 9792.
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 = 3649712546304/(1x9792)
LCM = 3649712546304/9792
LCM = 372723912
Thus, we can understand that the LCM of 188,248,306,561,456 is 372723912.
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FAQs on LCM of 188, 248, 306, 561, 456
1. What is the LCM of 188, 248, 306, 561, 456?
Answer: LCM of 188, 248, 306, 561, 456 is 372723912.
2. How to calculate the LCM of 188, 248, 306, 561, 456?
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 188, 248, 306, 561, 456.
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}.