LCM of 626, 142, 114, 556, 228
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 626, 142, 114, 556, 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 626, 142, 114, 556, 228. So, keep reading to learn more.
Given numbers are 626,142,114,556,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 626,142,114,556,228 is 704291316.
Find LCM of 626,142,114,556,228 with Prime Factorization
| 2 | 626, 142, 114, 556, 228 |
| 2 | 313, 71, 57, 278, 114 |
| 3 | 313, 71, 57, 139, 57 |
| 19 | 313, 71, 19, 139, 19 |
| 313, 71, 1, 139, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 313 x 71 x 1 x 139 x 1 = 704291316
Therefore, the lowest common multiple of 626,142,114,556,228 is 704291316.
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.
626 x 142 x 114 x 556 x 228 = 1284627360384
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.
626 : 1, 2, 313, 626
142 : 1, 2, 71, 142
114 : 1, 2, 3, 6, 19, 38, 57, 114
556 : 1, 2, 4, 139, 278, 556
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 626,142,114,556,228, is 2.
Now, the common factors can be found like this.
626:2x 313
142:2x 71
114:2x 3x 19
556:2x 2x 139
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 3x 19 = 912
Therefore, the value for common factors is 912.
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 = 1284627360384/(2x912)
LCM = 1284627360384/1824
LCM = 704291316
Thus, we can understand that the LCM of 626,142,114,556,228 is 704291316.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 626, 142, 114, 556, 228
1. What is the LCM of 626, 142, 114, 556, 228?
Answer: LCM of 626, 142, 114, 556, 228 is 704291316.
2. How to calculate the LCM of 626, 142, 114, 556, 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 626, 142, 114, 556, 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}.