LCM of 749, 202, 304, 856, 188
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 202, 304, 856, 188 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 749, 202, 304, 856, 188. So, keep reading to learn more.
Given numbers are 749,202,304,856,188
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,202,304,856,188 is 1080872912.
Find LCM of 749,202,304,856,188 with Prime Factorization
| 2 | 749, 202, 304, 856, 188 |
| 2 | 749, 101, 152, 428, 94 |
| 2 | 749, 101, 76, 214, 47 |
| 107 | 749, 101, 38, 107, 47 |
| 7, 101, 38, 1, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 107 x 7 x 101 x 38 x 1 x 47 = 1080872912
Therefore, the lowest common multiple of 749,202,304,856,188 is 1080872912.
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.
749 x 202 x 304 x 856 x 188 = 7401817701376
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.
749 : 1, 7, 107, 749
202 : 1, 2, 101, 202
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
856 : 1, 2, 4, 8, 107, 214, 428, 856
188 : 1, 2, 4, 47, 94, 188
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,202,304,856,188, is 1.
Now, the common factors can be found like this.
749:7x 107
202:2x 101
304:2x 2x 2x 2x 19
856:2x 2x 2x 107
188:2x 2x 47
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 107 = 6848
Therefore, the value for common factors is 6848.
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 = 7401817701376/(1x6848)
LCM = 7401817701376/6848
LCM = 1080872912
Thus, we can understand that the LCM of 749,202,304,856,188 is 1080872912.
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FAQs on LCM of 749, 202, 304, 856, 188
1. What is the LCM of 749, 202, 304, 856, 188?
Answer: LCM of 749, 202, 304, 856, 188 is 1080872912.
2. How to calculate the LCM of 749, 202, 304, 856, 188?
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 749, 202, 304, 856, 188.
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}.