LCM of 556, 202, 244, 306
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 556, 202, 244, 306 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 556, 202, 244, 306. So, keep reading to learn more.
Given numbers are 556,202,244,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,202,244,306 is 524103948.
Find LCM of 556,202,244,306 with Prime Factorization
| 2 | 556, 202, 244, 306 |
| 2 | 278, 101, 122, 153 |
| 139, 101, 61, 153 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 139 x 101 x 61 x 153 = 524103948
Therefore, the lowest common multiple of 556,202,244,306 is 524103948.
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.
556 x 202 x 244 x 306 = 8385663168
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.
556 : 1, 2, 4, 139, 278, 556
202 : 1, 2, 101, 202
244 : 1, 2, 4, 61, 122, 244
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,202,244,306, is 2.
Now, the common factors can be found like this.
556:2x 2x 139
202:2x 101
244:2x 2x 61
306:2x 3x 3x 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 2 = 8
Therefore, the value for common factors is 8.
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 = 8385663168/(2x8)
LCM = 8385663168/16
LCM = 524103948
Thus, we can understand that the LCM of 556,202,244,306 is 524103948.
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FAQs on LCM of 556, 202, 244, 306
1. What is the LCM of 556, 202, 244, 306?
Answer: LCM of 556, 202, 244, 306 is 524103948.
2. How to calculate the LCM of 556, 202, 244, 306?
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 556, 202, 244, 306.
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}.